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.

Question

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.
(here's a link to the screenshot of the graph: prnt.sc / ljk3i8)

i don't know how to do this question at all, please explain?? i get that the y is probably 300 but that's all i understand of it.

Answer 1

I can't see your graph, but if it shows the x- and y-intercepts, you can use the intercept form for a line.

If the x- and y-intercepts are a and b, then the line is

x/a + y/b = 1

Otherwise, if you can figure the slope m, then use that and any point (h,k) on the line and the point-slope form is

y-k = m(x-h)