2. Suppose you are a new employee. You notice that each payment option describes a sequence and decide to use rules to help determine which option to take.
(a) Determine the iterative rule for each sequence. Show your work.
(b) Your friend trusts your tables in Problem 1, but wonders if you wrote the iterative rules correctly. Show two calculations to convince your friend that both your rules work.

3. Consider the iterative rules you wrote in Problem 2.
(a) Explain why the rules are functions.
(b) Your friend says that because the rules are functions, they can be graphed and must have y-intercepts. How would you respond to your friend’s comment?
(c) Your friend uses your rules to determine the outputs when the inputs are 18.5. Explain why her outputs are meaningless in this situation. What would you tell her about the inputs she can use?

>THESE ARE NOT MULTIPLE CHOICE QUESTIONS!
Will give brainliest to anyone who answers all letters of both questions.

I only solved Option A in this answer, I think you needed to do both. You can do Option B in the same way!

2.

(a) You're supposed to find the pattern here. Use the slope-intercept form of the equation of a line. y=mx+b. In this situation, x is the week, and y is the amount paid. If you wanted, you could use whichever variables you wanted, of course. Basically, you need to find the slope, represented by m, which is the amount the amount paid increases by each week, and the y-intercept, b, which is the "amount paid" at week 0. (The y-intercept doesn't really make sense in this situation, but we'll get to that later.) You can use the formula m=(y2-y1)/(x2-x1). (x1,y1) and (x2,y2) are the input/output pairs. The x-coordinate is the week, and the y coordinate is the amount paid. Because the weeks are incrementing by 1, x2-x1=1. Because of this, you can just subtract the values and find out the slope is 50/week. After that, to complete the rule, you need to find the y-intercept. If the amount paid is 200 on week 1, and the amount paid increases by 50 each week, then you should be able to work backwards. 200-50=150

Another way to think about it is by plugging your points into the incomplete rule. Let b represent the y-intercept. Plug in the values for week 1 and solve for b.

Your work would probably look something like:

m=(y2-y1)/(x2-x1)

(x1,y1)=(1,200)

(x2,y2)=(2,250)

m=(250-200)/(2-1)

  =50/1

  =50

y=50x+b

200=50(1)+b

200=50+b

b=200-50

 =150

y=50x+150

(b) If I understand the question correctly, you have to show two instances that prove that your rule work. Just pick any two weeks, like weeks 3 and 4 and show how the rule is correct.

y=50x+150

x=3

y=50(3)+150

 =150+150

 =300

(This is the same value that's in the chart, which proves that the rule works. Do the same thing with another week.)

3.

(a) The rules are functions because each input has only one output. You can test this out, it's true.

(b) So we did have to find the "y-intercept" earlier. But you have to look at the domain. There won't be any amount paid on Week 0, payment starts at Week 1. So you would have to respond that yes, they can be graphed, but there's no y-intercept; the graph starts at week 1. Aditionally, there are only data points at the integer values of x. Look at part c.

(c) The outputs are meaningless because you're counting the time by weeks. There won't be any amount paid in the middle of the week, so she can only use integer inputs.

I hope this helps!! This is my first time answering a question on here.

Put the equation 3y-4x=-6 into slope intercept form

please help! the subject is functions (math) (the picture is below)

PLEASE HELP I WILL MARK U BRAINLIEST!!!!!!!!

1, -c/2 < -1.5
2. -y/2 < 6
3. -d/3 > -9

you guys gotta help me i'm so confused

the question is in the picture

Read the bottom before answering! Thank you!

Anna, Brad, Carly, Deonte, and Elijah ran around a track as
part of a fundraiser for the school’s math club. Anna ran
first, and when she was tires, Brad ran. When Brad got
tired, Carly ran, and so on. By the end of the fundraiser,
they had run a total of 30 miles. Anna and Brad combined
ran 12 miles.
Brad and Carly combined ran 10.2 miles.
Carly and Deonte combined ran 12 miles.
Deonte and Elijah combined ran 12.3 miles.
How far did each person run?

Anna, Brad, Carly, Deonte, and Elijah ran around a track as
part of a fundraiser for the school’s math club. Anna ran
first, and when she was tires, Brad ran. When Brad got
tired, Carly ran, and so on. By the end of the fundraiser,
they had run a total of 30 miles. Anna and Brad combined
ran 12 miles.
Brad and Carly combined ran 10.2 miles.
Carly and Deonte combined ran 12 miles.
Deonte and Elijah combined ran 12.3 miles.
How far did each person run?

Note! Please do not put a troll answer, I really need help with this! You do not need to show work if you do not want to, I just need the overall answer! Thank you!

Plss hellpppp thank uu

IK I MEANT THEM AS A FRACTION, DONT GANG UP ON ME

Which expression has the greatest value?

A)
1 3/4÷1/6

B)
1 3/4÷1/10

C)
2/5÷1/10

D)
2/5÷1/6

Divide: 5 and 2/3 divided by 3/2

Select the three statements below that are true about quarts and cups.


A quart is 4 times as large as a cup.


One quart is equal to 14 of a cup.


A cup is 14 as large as a quart.


One cup is equal to 14 of a quart.


A cup is 4 times as large as a quart.


It takes 4 quarts to make 1 cup.

Solve the system by adding or subtracting.

3x + y = 26
3x − 2y = 11

The solution of the system is (___,__).

Find the surface area of a cylinder with radius r = 6 and height h = 14.8 to the nearest tenth of a square cm. Use π = 3.14.
A).783.7 cm2
B).226.1 cm2
c).391.9 cm2
D).1,673 cm2

NEED HELP NOWW!!! Andre is in charge of cooking broccoli and zucchini for a large group. He has to spend all $17 he has and can carry 10 pounds of veggies. Zucchini costs $1.50 per pound and broccoli costs $2 per pound. One graph shows combinations of zucchini and broccoli that weigh 10 pounds and the older shows combinations of zucchini and broccoli that cost $17

a. Name one combination of veggies that weighs 10 pounds but does not cost $17.

b. Name one combination of veggies that costs $17 but does not weigh 10 pounds.

c. How many pounds each of zucchini and broccoli can Andre get so that he spends all $17 and gets 10 pounds of veggies?

NO RANDOM ANSWERS OR I WILL REPORT YOU

I will mark brainliest

Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice.

Help I will give brainliest please hurry

please help fast its due in 30 minutes

Almost there .......AAAAHHhH

Let's find +1418.


First, write the addition so the fractions have denominator 8.
Then add.
=+1418=+818


Lets find 1/4+1/8
First, write the addition so the fractions have denominator 8.
Then add.

HOW DO YOU FIND THE MISSING SIDE LENGTH ON SIMILAR TRIANGLES!!! PLEASE HELP...

Astrid must pay a 15% tax on the camera that she is buying. The orginal price of thAstrid must pay a 15% tax on the camera that she is buying. The orginal price of the camera is $45.00. How much more money must Astrid pay for the tax?e camera is $45.00. How much more money must Astrid pay for the tax?
Plz Help ( * ^ * )

mary baked 5 round bannock for a bake sale at the chief kahkewistahaw community school at saskatchewan. she cut each bannock into 12 pieces. mary sold 41 pieces of bannock.
a) how much bonnock did mary sell?
give your answer in 2 ways
b) how many bonnock are left?
give your answer in 2 ways

I suck at basic Geometry. ( episode 3)
( oh yeah, please explain how to get it, this one is easy, im just making sure my answer is correct)

At the ball game, 65% of the fans waved pom-poms. If 133 fans did not wave pom-poms, how many fans were there in all?

Plz help if ur gonna answer answer them all

Which proportion would you use to solve the following problem?

A map has a scale of 1 cm : 5 km. Determine how far apart two cities are if they are 4 cm apart on the map.

George drove 240 miles to his grandmother's house. The graph below shows the relationship between the distance he traveled and time. What does the slope of the graph represent? A. George's speed in minutes per mile. B. The total distance he has traveled. C. The total distance he has left to travel. D. George's speed in miles per minute.

5 x 3/5 = c

What is c?

A. 23/5
B. 2/5
C. 1
D.3

How many solutions does the system of equations have?

A. No solution

B. One solution: x=0, y=5

C. One solution: x=1, y=4

D. Infinitely many solutions