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

Answer: y = -2/3x + 490

Explanation:

2x +3y = 1470

Slope intercept form definition: y = mx + b is the slope-intercept form of a line where m is the slope and b is the y-intercept.

2x + 3y = 1470

2x + 3y -2x = 1470 - 2x - Subtract 2x from both sides

3y = 1470 - 2x - Simplify

3y/3 = 1470/3 - 2x/3 - Divide both sides by 3

y = -2/3x + 490 - Simplify

-⅔ is the slope and 490 is the y-intercept

Answer 2

If you want to find how the graphs of the functions for the two months are similar and how they are different, here is the answer:

Both are straight lines.
Both slopes are the same.
The x and y intercepts are different.

Hope that helps :)