Question

HELP

Answer 1

@Ultrilliam @Elsa213 @dude


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 into slope-intercept form. Identify the slope and y-intercept of the equation. Be sure to show all of your work below:
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.
6. Below is a graph that represents the total profits for a third month. Write the equation of the line that represents this graph. Show your work or explain how you determined the equations.

Answer 2

Okay so for Part 1 we have to get the equation into
\[y=mx+b\]

Answer 3

ok....

Answer 4

\[2x + 3y = 1,470\]
Do you know how to convert it to slope-intecept?

Answer 5

i tried number 1 earlier but im not sure if im correct.. this is what i wrote in my doc (please check):

2x + 3y = 1,470
-2x -2x
3y/3= (-2x+1470)/3
y=(-⅔)x + 490

Slope-intercept form: y=mx+b, where “m” is the slope of the line and “b” is the y-value at which the line intercepts the y-axis of the graph, the y-value when x=0.
m=(-⅔)
b= 490

Answer 6

x is only a placeholder for any number. So it does not equal a number yet

Answer 7

ok.. so now number 2??

Answer 8

To graph an equation you would need to get points, the slope-intercept formula already tells you a point, do you know which it is?

Answer 9

no

Answer 10

Hint: What is the y-intercept?

Answer 11

NOT SURE....

Answer 12

\(\color{#0cbb34}{\text{Originally Posted by}}\) @cookiemonster
“b” is the y-value at which the line intercepts the y-axis of the graph,
\(\color{#0cbb34}{\text{End of Quote}}\)

Answer 13

ok...

Answer 14

In y=mx+b, b is the y-intercept. In this case 490 is your y-intercept.

Answer 15

oh ok...

Answer 16

If you want to find the y-intercept algebraically you would substitute 0 for x becuase y-intercepts are written as (0,y)
\[y=-\frac{2}{3}x+490\]
\[y=-\frac{2}{3}(0)+490\]
\[y=490\]

Answer 17

oh ok nice..

Answer 18

Another easy point to find algebraically is to find the x-intercept, x-intercepts are written as (x,0)
So we would substitute 0 for y
\[0=-\frac{2}{3}x+490\]
Attempt to solve for x

Answer 19

its ok i get it now... so can we answer number 2?
Describe how you would graph this line using the slope-intercept method. Be sure to write using complete sentences.

Answer 20

@dude

Answer 21

damn