Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2, and the profit on every wrap is $3. Sal made a profit of $1,470 from lunch specials last month. The equation 2x + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch specials sold and y is the number of wrap lunch specials sold.

1:Change the equation to slope-intercept form. Identify the slope and y-intercept of the equation. Be sure to show all your work.
2:Describe how you would graph this line using the slope-intercept method. Be sure to write using complete sentences.
3:Write the equation in function notation. Explain what the graph of the function represents. Be sure to use complete sentences.
4:Graph the function. On the graph, make sure to label the intercepts. You may graph your equation by hand on a piece of paper and scan your work or you may use graphing technology.
5:Suppose Sal's total profit on lunch specials for the next month is $1,593. The profit amounts are the same: $2 for each sandwich and $3 for each wrap. In a paragraph of at least three complete sentences, explain how the graphs of the functions for the two months are similar and how they are different.

Answers

Answer 1

Answer:

Answer:

1.) the y intercept is 490 and the slope is -2/3x

2.) First, I would find the point (0,490) and plot a point there. Then I would use our slope -2/3 to figure out what direction and what angle the line goes by counting 2 down and 3 to the right

3.) f(x)= -2/3x+490

The graph represents how many wraps could've been sold for each number of sandwich sales to keep the same profit of $1,470.  

4.) graph down below

5.) the profits are the same (slope) but the y intercept is higher then the original graph.

6.) y=-2/3x+300

Step-by-step explanation:

some of these are part of the problem as well.

1.)  2x+3y=1,470  

3y=-2x+1,470

-2x+1,470/3

-2/3x + 490

y=-2/3x + 490

the y intercept is 490 and the slope is -2/3x

2.) First, I would find the point (0,490) and plot a point there. Then I would use our slope -2/3 to figure out what direction and what angle the line goes by counting 2 down and 3 to the right

3.) f(x)= -2/3x+490

The graph represents how many wraps could've been sold for each number of sandwich sales to keep the same profit of $1,470.  

5.) 2x+3y=1,593

3y=-2x+1,593

y=-2/3x+531

the profits are the same (slope) but the y intercept is higher then the original graph.

6.) (150, 200) (300, 100)

y intercept= 300

m= 100-200/300-150 = -100/150 = -2/3

y=-2/3x+300

this was a question from a while ago but I thought I would answer it anyways, hope its right and hope it helps you! <3


Related Questions

I think of a number, double it, subtract 3,
the result is 7. Evaluate the number that I first thought of.

Answers

Answer:

5

Step-by-step explanation:

2x - 3 = 7

this equation can represent the senario because the number (x) is doubles (multiplyed by 2), subtracted by 3 then equal to 7

then you can just solve for x

2x=10

x=5

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

1.open the compass more than half of the distance between C and D, and scribe arcs of the same radius centered at C and D.

2. Call the two points where these two arcs meet A and B. Draw the line between A and B.

3. AB is the perpendicular bisector of the line segment CD. Call the point where AB intersects CD E.

This website offers a pretty good explanation:

https://web.sonoma.edu/users/w/wilsonst/courses/math_150/c-s/Perp-Bisect.html

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Answers

Answer:

245°

Step-by-step explanation:

the bearing is 180° + 65° = 245°

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Step-by-step explanation:

In Panama City in January high tide was at midnight. The water level at high tide

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Doctors sometimes use this formula to calculate how much medicine to give a child. A child who is 4 years old needs some medicine. The amount for an adult is 20 ml. Use the formula to work out the correct amount for this child.

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Answer:

A basic formula, solving for x, guides us in the setting up of an equation: D/H x Q = x, or Desired dose (amount) = ordered Dose amount/amount on Hand x Quantity

Step-by-step explanation:

Medications are available in multiple concentrations, therefore orders written in "mL" rather than "mg" are not acceptable and require further clarification.

...

Example 2.

Step 1. Calculate the dose in mg: 18 kg × 100 mg/kg/day = 1800 mg/day

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The cost of a phone call at a hotel is determined by the formula
C = 0.35t + 0.6
Where C is the cost in dollars and T is the length of the call, in minutes.
What is the length of a call that costs 5.85
(a) 3 minutes
(b) 6 minutes
(c) 15 minutes
(d) 18 minutes
Show your answer for Brainliest

Answers

C = $5.85

$5.85 = 0.35t + 0.6
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What is the least common multiple of 12, 18, and 45?

Answers

Answer:

180

Step-by-step explanation:

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Answers

Answer:

7/4

Step-by-step explanation:

Answer:

The Answer would be 7/4 as an Improper fraction

Step-by-step explanation:

Which is a solution to the equation?
(x - 3)(x - 5) = 35
Ox= -8
O x= -5
O x= 2
O x = 10

Answers

Answer:

x=10

Step-by-step explanation:

Let's solve your equation step-by-step.

(x−3)(x−5)=35

Step 1: Simplify both sides of the equation.

x2−8x+15=35

Step 2: Subtract 35 from both sides.

x2−8x+15−35=35−35

x2−8x−20=0

Step 3: Factor left side of equation.

(x+2)(x−10)=0

Step 4: Set factors equal to 0.

x+2=0 or x−10=0

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Answer:

-2

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

Which function has a greater constant rate of change explain. Function A y=10x-3 or function B x 1 2 3 4 5 and y are 20 15 10 5 0

Answers

Answer:

The function B has greater constant

Step-by-step explanation:

[tex]m(b) = \frac{20 - 15}{1 - 2} = - 5 \\ y = - 5x + c \\ when \: y = 20 \: \: \: \: \: and \: x = 1 \\ 20 = - 5 \times 1 = c \\ c = 25[/tex]

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Yupyupyupypu

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Answers

Answer:

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Answer:

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Answers

Answer:

2 2/5

Step-by-step explanation:

2/5 x 6 = 12/5 = 2 2/5

Hope that helps!

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Answers

Answer:

 

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Step-by-step explanation:

Simplify, must end in positive exponent :)

Answers

Answer:

b^4

Step-by-step explanation:

have a good day

Step-by-step explanation:

[tex] \frac{ ({b}^{8}) (b)}{(b)^{5} } \\ = \frac{ {b}^{8 + 1} }{ {b}^{5} } \\ = \frac{ {b}^{9} }{ {b}^{5} } \\ = {b}^{9 - 5} \\ = {b}^{4} [/tex]

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Answer:

Step-by-step explanation:

Given the equation 4(3n-7) = -19, what is the first step you could use to solve for n?​

Answers

Answer:

3/4

Step-by-step explanation:

4(3n-7)=-19

3n-7=-19/4

3n=-19/4+7

3n=-19/4+28/4

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n=9/12

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n=3/4

Answer:

3/4

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Step-by-step explanation:

[tex]\frac{4(3n-7)}{4} =\frac{-19}{4}[/tex] ( divide both sides by 4 )

[tex]3n-7= -\frac{19}{4}[/tex]  ( simplify )

[tex]3n-7+7=-\frac{19}{4} +7[/tex] ( add 7 to both sides )

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Answers

Answer:

[tex]4\sqrt{2}[/tex]

Step-by-step explanation:

distance formula:[tex]\sqrt{\left(x_2-x_1\right)^{2}+\left(y_2-y_1\right)^{2}}[/tex]

set square to be centered on the origin and find the distance between 2 of the connected points

[tex]\sqrt{\left(3-2\right)^{2}+\left(2-1\right)^{2}}[/tex]

= [tex]\sqrt{\left(1\right)^{2}+\left(1\right)^{2}}[/tex]

= [tex]\sqrt{2}[/tex]

multiply by 4 as it is a square and all of its sides are equal

[tex]4\sqrt{2}[/tex]

insert units

[tex]4\sqrt{2}\ \ meters[/tex]

The perimeter of the square is √32.

Given to us

the radius of the circle is 1 meter

What is the diagonal of the square inscribed in the circle?

As we can see in the figure AB is the diagonal of the square and diameter of the circle. therefore,

AB = Diagonal of the square = Diameter of circle = 2 x Radius = 2 meter

We know the diagonal of a square is equal to the product of √2 and the side of the square.

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Substitute the value,

[tex]2 = side \times {\sqrt2}\\\\side = \dfrac{2}{\sqrt2}\\\\side ={\sqrt2}[/tex]

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The perimeter of the square is four times the side of the square.

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Substitute the value,

[tex]Perimeter = 4\times (\sqrt2)\\\\Perimeter = 4\sqrt2 = \sqrt{2\times 16} = \sqrt{32}[/tex]

Hence, the perimeter of the square is √32.

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Answers

Step-by-step explanation:

step 1. (13x + 8) + (2x + 7) = 180 (definition of same side interior angles)

step 2. 15x + 15 = 180 (like terms)

step 3. 15x = 165 (subtract 15 from each side)

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Answers

Answer:

xy = - 27

Step-by-step explanation:

Note that

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9² = 27 - 2xy

81 = 27 - 2xy ( subtract 27 from both sides )

54 = - 2xy (divide both sides by - 2 )

- 27 = xy

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Answers

Answer:

Step-by-step explanation:

D is a rough estimate because the actual output would be

9.8(1.098)(1.051)

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Answers

Answer:

9[tex]\sqrt{5}[/tex]

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

Simplify the radicals

[tex]\sqrt{20}[/tex]

= [tex]\sqrt{4(5)}[/tex]

= [tex]\sqrt{4}[/tex] × [tex]\sqrt{5}[/tex]

= 2[tex]\sqrt{5}[/tex]

[tex]\sqrt{45}[/tex]

= [tex]\sqrt{9(5)}[/tex]

= [tex]\sqrt{9}[/tex] × [tex]\sqrt{5}[/tex]

= 3[tex]\sqrt{5}[/tex]

Then

3[tex]\sqrt{20}[/tex] + [tex]\sqrt{45}[/tex]

= 3(2[tex]\sqrt{5}[/tex] ) + 3[tex]\sqrt{5}[/tex]

= 6[tex]\sqrt{5}[/tex] + 3[tex]\sqrt{5}[/tex]

= 9[tex]\sqrt{5}[/tex]

9/- 7dndusjjsjddkkdkdksksjdid

PLSS HELP BRAINLIEST

Answers

Answer:

y=-2x-1

Step-by-step explanation:

1st step is to find the slope

which is....

-2

2nd step would be find y-intercept

which is....

-1

soooo your equation would be....

y=-2x-1

POSSIBLE POINTS
I am having a family reunion this summer. I have $5,000.00 to spend. I will spend $1575.00 for decorations and entertainment. The cator will charge
$26.00 per person. How many people can attend with the given budget. Write and solve an equation, then state how many people can attend the
reunion.

Answers

Answer:

The answer is 131 people

Step-by-step explanation:

I'm not too sure about equations bc its been a min since I've done them but maybeeeee it's 26x - (1,575) = 5,000 something like that LOL

All I know is that you have to subtract 1575 from 5,000 and then you get 3,435 dollars left and you divide that by 26 people and you get 131.731 but of course you can't have a half of person so it stays at 131.

Hopefully that helped lol

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