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

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.

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)

Answer 2

To write the equation of the line that represents the graph in the screenshot, we need to determine the slope and y-intercept of the line.

To find the slope, we can use the two points provided on the graph. From the graph, it looks like the line passes through the points (150, 450) and (500, 700). The slope (m) can be calculated using the formula:

m = (y2 - y1) / (x2 - x1)

Substituting the coordinates of the two points:

m = (700 - 450) / (500 - 150)
m = 250 / 350
m = 5/7

Now, we have the slope of the line, which is 5/7.

To find the y-intercept, we can use one of the given points along the line. Let's use the point (150, 450). The y-intercept (b) represents the value of y when x is equal to zero.

Using the slope-intercept form of a line (y = mx + b), we can rearrange it to solve for b:

y = mx + b
450 = (5/7)(150) + b
450 = 107.14 + b
450 - 107.14 = b
342.86 = b

So, the y-intercept (b) is 342.86.

Now we have the slope (m) which is 5/7 and the y-intercept (b) which is 342.86. We can write the equation of the line using these values:

y = (5/7)x + 342.86

Therefore, the equation of the line that represents the graph in the screenshot is y = (5/7)x + 342.86.