Question

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.

Answer 1

1. Change the equation into slope-intercept form. Identify the slope and y-intercept of the equation. Be sure to show all of your work below:

Answer 2

@Michele_Laino

Answer 3

2x + 3y = 1,470
3y = 1470 – 2x
y = 1470/3 – 2/3x
y = 490 – 2/3x
y = -2/3 * x + 490
the slope is -2/3
and y intercept is 490

this is what i got

Answer 4

correct!

Answer 5

but i need help with this question
3. Write the equation in function notation. Explain what the graph of the function represents. Be sure to use complete sentences.

Answer 6

using function notation, you have to replace \(y\) with \(f(x)\)
so we have:
\[f\left( x \right) = - \frac{2}{3}x + 490\]

Answer 7

Okay thank you. 2 more..

Answer 8

ok!

Answer 9

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

Answer 10

we have to apply the same method of before, in order to write the second function

Answer 11

so we can write this:
\(2x+3y=1593\)
please solve for \(y\)

Answer 12

uhmm y= -2x/3 + 531

Answer 13

correct! We can write:
\[g\left( x \right) = - \frac{2}{3}x + 531\]

Answer 14

I called the second function with \(g(x)\)

Answer 15

so, what can you conclude?

Answer 16

here you have to compare \(f(x)\) with \(g(x)\)

Answer 17

ummm im not sure :/

Answer 18

have those function the same slope?

Answer 19

functions*

Answer 20

yes they do

Answer 21

correct! we have a common feature

Answer 22

have those functions different y-intercepts?

Answer 23

uhmm yes they do?

Answer 24

correct! since the y-intercept of \(f(x)\) is 490, whereas the y-intercept of \(g(x)\) is 531

Answer 25

yes! you are a life saver!!

Answer 26

thanks!! :) :)

Answer 27

thank you so much :)

Answer 28

:)

Answer 29

is this all the same person

Answer 30

bc i sure looks like it

Answer 31

No, this is a question transferred over from the predecessor site, OpenStudy lol


These are different users from there that got turned into “OpenStudy” users, since it dosent exist anymore.

Answer 32

oh ok

Answer 33

This was also 6 years ago lol

Answer 34

just didnt know

Answer 35

ik