The Bernards are trying to determine their babysitter's rates but are to embarrassed to just ask her. They were charged $20 for 2 hours last week, but only $31 for 4 hours this week. What is the formula to determine A(Amount) given t(time in hours)?

Answers

Answer 1

Answer:

A = 5.5t + 9

Step-by-step explanation:

We assume that the relationship between t and A is linear.

We have two points on a line: (2, 20) and (4, 31).

We now find the equation of the line.

A = mt + b

m = (31 - 20)/(4 - 2) = 11/2 = 5.5

20 = 5.5(2) + b

20 = 11 + b

b = 9

A = 5.5t + 9


Related Questions

DUE IN 5 MINS PLEASE HELP
PLSSSS
You work in the packing department of Regal China You can pack a crate of dishes in 20 minutes. How many crates can you pack In 4 hours?​

Answers

Answer:

12

Step-by-step explanation:

you can pack one pack in 20 min

there are three 20 min in one hour

multiply three times the four hours and you get 12

Renee is simplifying the expression (7) (13/29) (1/7).She recognizes that 7 and 1/7 are reciprocals, so she would like to find their product before she multiplies by 13/29. Which property will allow Renee to do this without changing the value of the expression
A- associative property
B- commutative property
C- distributive property
D- identity property

Answers

Answer:

commutative property

Step-by-step explanation:

Answer:

c\

Step-by-step explanation:

distributive property

Trisha wants to buy a computer for $775. She already has $275 saved and earns $100 a week babysitting. Write an inequality that could be used to determine how many weeks she would have to work to afford the computer. Use w to represent the number of weeks.

Answers

Answer:

she would be able to Oxford its if she worked for 5 weeks


4(x – 5) +3x =15 solve the equation

Answers

Answer:

x = 3.57

Step-by-step explanation:

4x - 20 + 3x = 15

4x + 3x = 15+20

7x = 25

x = 3.57

Express the number 0.00001038 in scientific notation

Answers

if you want .00001038 to be in scientific notation move the decimal place over behind the first number that isn’t a 0 in this case it’s 1 so it should be

1.038 *10^-5

Which numbers are possible solutions to the inequality... (SELECT ALL THAT APPLY)
-5x + 10 < 30

Answers

1. you didn't add anything

2. x>-4

Jill is using a map of her town to determine how far the park is from school. The map does not have a scale, but Jill knows her school is 3 miles from home. On the map, the distance between home and school measures 1.5 inches. If the park is 2.5 inches from the school on the map, what is the actual distance in miles?

Answers

Answer:

The answer is five miles.

Step-by-step explanation:

Here’s one way to solve this problem.

First, write the ratio of the known distance on the map to the corresponding actual distance, one point five inches over three miles.

Next, choose a variable, such as d, to represent the unknown distance between the school and the park.

Then, write the ratio of the distance from the park to the school on the map to the corresponding actual distance, two point five inches over d miles.

Next, write a proportion equating the two ratios.

Now, cross multiply.

Finally, divide both sides by one point five to arrive at the actual distance, five miles.

So, the actual distance between the park and the school is five miles.

Answer:

5 miles!

Step-by-step explanation:

Hope this is helpful ^>^

Pam wants to make a new banner for the school in the parking lot. If her banner starts at 3 feet tall and 4 feet wide; and she wants to enlarge it by a factor of 7, what are her final measurements

Answers

Answer:

21 feet tall and 28 feet wide

Step-by-step explanation:

I’ll give brainliest I need help

Answers

Answer:

1, -1, -3, 3

Step-by-step explanation:

f(x) = 2x-1

f(1)=2*1-1 = 2-1 = 1

f(0) = 2*0 - 1 = -1

f(-1) = 2* -1 -1 = -2-1 = -3

f(2) = 2 * 2 -1 = 4-1 =3

MULTIPLE CHOICE QUESTION
How to Write and Solve Proportions
Kerry swam 2,400 yards in 20 minutes. How many minutes
will it take her to swim 3,000 yards
12
How will we find this scale factor?
3000x20/2400-2
1) Set up a word ratio.
2) Fill in the proportion
3) Find the scale factor.
yards 24004 30000
20 min
2400/3000-2
Х
3000/2400=?
x/20=2
20/=?

Answers

Answer:

2

Step-by-step explanation:

Answer:

23x432+3=20min

Step-by-step explanation:

Convert 120 inches to feet.

Answers

Answer:

10 feet

Step-by-step explanation:

12 inches = 1 foot

120/12 = 10

10 feet

Answer:

10 foot.

Step-by-step explanation:

120 divided by 12

Write a rule that would allow you to test whether (x,y) is on line ℓ.

Answers

Answer:

We have a line L.

Remember that in two dimensions, we can write a line as:

y = a*x + b

where a is the slope and b is the y-axis intercept.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

And then using one of these points, we can find the value of b.

Then wen we got the equation for the line:

y = a*x + b

We can input a point (x, y)

And see if the equality is true, then the point belongs to the line L.

Write 4.5 as a mixed number and as an improper fraction

Write your answer in a simplest form m

Answers

4 1/2 mixed number

9/2 improper fraction

Answer:

4.5 as a mixed number is 4 1/2

4.5 as an improper fraction is 9/2

a perfect square?
Group of answer choices

Answers

All numbers are the same on all sides

equal on all sides. so it can be any number on all sides as long as they're the same

Quan makes $72 a day as an Uber driver, plus $8 for each client he has. If
Quan typically makes $104 a day. How many clients does he usually have

Answers

Answer:

Quan usually has 4 clients

Step-by-step explanation:

Working backward at math is to start with the final situation and work back one step at a time to get to the beginning.

We know Quan makes $104 a day, including his $72 fixed rate plus an $8 rate per client.

Subtracting the total and the fixed rate, we can find the variable part of his earnings.

$104 - $72 = $32

Quan usually makes $32 for the variable rate at $8 per client, thus he usually has $32 / $8 =4 clients.

Quan usually has 4 clients

distributive −2x(−10x+1)

Answers

Answer:

[tex]20x^{2} -2x[/tex]

Step-by-step explanation:

Multiply using the distributive property.

Answer:20x-2x is the answer..

Mark brainliest

Plzzz follow hope u like it

Write the standard form of the equation of the line that passes through (-2, -3) and (2, -5).

Answers

the slope is 6-2/2-(-2)=4/4=1

point slope form: y-6=1(x-2)

slope-intercept form: y=x+4

Standard form: -x+y=4 change to x-y=-4

Hope that had helped

Have a nice day :)

please help what is 400÷56×14÷3​

Answers

Answer: 33.3_

Step-by-step explanation:

400 divided by 56 equals 17.14_ and 17.4_ multiplied by 14 equals 100 and divided by 3 is equal to 33.3_

Answer: 0.0425

Step-by-step explanation:

PEMDAS

1. 56x14

2. 400/784

3. 0.1275/3

4. 0.0425

Please help me please I feel like crying cause I can't do it...

Answers

Answer:

1. 39

2. 15

3.329

4. 16

5. 300

Step-by-step explanation:

Just divide the first two numbers and then multiply the quotient by the last number. You'll be ok, you've got this, keep your head up!

1. 52/4 = 13 and 13 x 3 = 39

2. 45/9 = 5 and 5 x 3 = 15

3. 470/10 = 47 and 47 x 7 = 329

4. 10/2.5 = 4 and 4 x 4 = 16

5. 125/2.5 = 50 and 50 x 6 = 300

What is the slope of the line that passes through the points (3, 5) and (8, 3)?​

Answers

Answer:

[tex]- \frac{2 }{3} [/tex]

Step-by-step explanation:

[tex]the \: slope : m = \frac{3 - 5}{8 - 3} = \frac{ - 2}{ + 5} = - \frac{2 }{3} [/tex]

♨Rage♨

ILL GIVE BRAINLIEST. HELP ASAP. What is the greatest common factor in the two terms of the expression 3x - 2y?

Answers

The answer is 1
Steps

The hypotenuse of a right triangle is 9 inches long and another side is 6 inches. Find the length of the missing side. Round your answer to the nearest tenth.​

Answers

a² + b² = c²
a² = c² - b²
a² = 9² - 6²
a² = 81 - 36
a² = 45
a = √45
a ≈ 6.7082
a = 6.7

Did I get this right? If I did not please correct me and explain please thank you.

Answers

Answer:  Yes. 10 1/2 is right.

Step-by-step explanation:

You added the amounts to find the total cups  5 3/4 + 1 1/4 to get 7

Then divided by 2/3 cups per week to get 10 1/2 weeks.

A mile is 5, 280 feet long. A certain indoor gym has a running track for which 12 laps around the track is equivalent to 1 mile. Explain how you can use partial quotients to determine

how many feet long the track is

X

Hint

1 of 2

Dividing by partial quotients means subtracting multiples of the divisor from the dividend until there is nothing left to subtract.

First, I would use

and subtract

Then I would use

X

in order to decrease the dividend to 0.

Adding the partial quotients

and

gives the whole-number quotient,

The track is 440 feet long.

Answers

Answer:

440 feet

Step-by-step explanation:

The relationship between mile and feet is given as:

1 mile = 5280 feet.

The length of 12 laps around the track is equivalent to 1 mile:

12 laps = 1 mile

Dividing both sides by 12 and simplifying:

12 laps / 12 = 1 mile / 12

1 lap = (1/12) mile

This means that the relationship between the length of the track and feet is given as:

Length of track = (1/12) × 5280 feet

Simplifying the expression:

Length of track = 440 feet

mrs marvel bought some t-shirts. she gave 1/2 of them to coach nine, 2 of them to mrs. lewis and kept 5 to herself. how many t-shirts did she buy?

Answers

Answer:

14

Step-by-step explanation:

assuming that the shirts in the question are the only shirts bought, 2+5 is 7, and the other half would also be 7, making it 14

There are 5 classes in fifth grade and 6 classes in sixth grade. Each class has 20 students how many are in fifth and sixth grade classes altogether

Answers

Answer:

220

Step-by-step explanation:

11 classes total   11 multiplied by 20=220

Answer:220

Step-by-step explanation:

20*5=100

20*6=120

120+100=220

Please help me my mums gonna kill me if I fail this assignment.
I`ve been working all day and don´t understand how to solve it

Answers

Answer:

17 in,3 in, and 19in

so the third answer

Step-by-step explanation:

The gardener mows your lawn in $9 and earns $45. Write and solve an equation to find the number of hours of the gardener worked
All I need is the equation plz help.​

Answers

Answer:

45/9=__

Step-by-step explanation:

Please mark me brainliest

HELP ASAP I WILL MARK BRAINLEST

Internet Usage The number of hours people in the United States
spent using the Internet each year from 1998 to 2001 can be
modeled by the function f(x) 5 26.4x 1 54.4 where x is the number
of years since 1998.
a. Graph the function and identify its domain and range.
b. Find the number of hours that people spent on the Internet
in 2000. Explain how you found your answer.
c. When did people spend about 120 hours per year on the
Internet? Explain how you found your answer.

Answers

Answer:

Look in picture

Step-by-step explanation:

Functions can be represented on graph and as equation.

The domain and the range of the function are [0,3] and [54.4,133.6]The number of hours spent in 2000 is 107.2People spend about 120 hours per year in 2001

The function is given as:

[tex]f(x) = 26.4x + 54.4[/tex]

(a) The graph, domain and range

See attachment for the graph of [tex]f(x) = 26.4x + 54.4[/tex]

The function represents years from 1998 to 2001.

This means that:

[tex]x = 0[/tex] in 1998 and [tex]x =3[/tex] in 2001

So, the domain is: [tex][0, 3][/tex]

From the graph;

[tex]x = 0 \to f(x) = 54.4[/tex]

[tex]x = 3 \to f(x) = 133.6[/tex]

So, the range is [tex][54.4,133.6][/tex]

(b) Number of hours spent in 2000

First, we calculate x.

[tex]x = 2000 - 1998[/tex]

[tex]x =2[/tex] i.e. 2 years since 1998

So, we have:

[tex]f(x) = 26.4x + 54.4[/tex]

[tex]f(2) =26.4 \times 2 + 54.4[/tex]

[tex]f(2) =107.2[/tex]

(c) When people starts to spend 120 hours.

We have:

[tex]f(x) = 26.4x + 54.4[/tex]

Substitute 120 for f(x)

[tex]120 = 26.4x + 54.4[/tex]

Collect like terms

[tex]26.4x = 120 - 54.4[/tex]

[tex]26.4x = 65.6[/tex]

Solve for x

[tex]x = \frac{65.6}{26.4}[/tex]

[tex]x = 2.48[/tex]

Round 2.48 to the smallest integer greater than 2.48

[tex]x = 3[/tex]

This represents the number of years, since 1998.

So, the actual year is:

[tex]Year =1998 + 3[/tex]

[tex]Year = 2001[/tex]

Hence, people spend about 120 hours per year in 2001

Read more about functions and graphs at:

https://brainly.com/question/18806107

A concert charges $30 admission and $15 per shirt. Alyssa paid $75 at the concert for her admission and shirts. Write and solve an equation to find the number of shirts Alyssa bought. Explain what your variable represents.

Answers

Answer:

75-30/15=x

Step-by-step explanation:

75-30=45

45/15=3

75-30/15=x

Answer:

30+15(x)=75               so x would =3

Step-by-step explanation:

So you have one ticket which is $30, then you add 15 times however many shirts she buys which in total will equal $75. She would have bought 3 shirts. So 30+ 15(3)=75. Hope that helps!

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