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 Nitide 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. 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.

Given:

2x + 3y = 1470

convert to slope intercept form to find the slope and y-intercept.

In the slope intercept form: y = mx + bm is the slope and b is the y-intercept.

2x + 3y = 1470

3y = - 2x + 1470

y = - 2x/3 + 1470/3

y = - 2x/3 + 490

slope is - 2/3

y intercept is 490

2x + 3y = 1593

3y = - 2x + 1593

y = - 2x/3 + 1593/3

y = - 2x/3 + 531

slope is - 2/3

y intercept is 531

Both slopes are the same, the y-intercept increased by 41

If the trend is the same, I can assume that the third month will have this expression.

2x + 3y = 1716

2x + 3y = 1716

3y = - 2x + 1716

y = - 2x/3 + 1716/3

y = - 2x/3 + 572

slope is - 2/3

y intercept is 572.

I got the 1716 by multiplying 41 by 3 and adding the product to 1593.