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. Change the equation to slope-intercept form. Identify the slope and y-intercept of the equation. Be sure to show all your work. Describe how you would graph this line using the slope-intercept method. Be sure to write using complete sentences. Write the equation in function notation. Explain what the graph of the function represents. Be sure to use complete sentences. 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. 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. 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.

I NEED HELP W JUST #6
Thanks!!

Answer 1

2x + 3y = 1470
3y = -2x + 1470
y = -2/3x + 490 <== slope intercept form
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y = -2/3x + 490
slope = -2/3
y int = (0,490)
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description of graphing : Plot ur point at (0,490). Since the slope is -2/3, starting at (0,490)...go down 2 and to the right 3,then down 2 and to the right 3 and you will eventually cross the x axis at the x intercept.

The x intercept can be found by subbing in 0 for y and solving for x
y = -2/3x + 490
0 = -2/3x + 490
2/3x = 490
x = 490 * 3/2
x = 1470/2 = 735...so ur x intercept is (735,0)

therefore, your line will cross the x axis at (735,0)
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function notation is : f(x) = -2/3x + 490
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suppose his profit is 1593....
2x + 3y = 1593
3y = -2x + 1593
y = -2/3x + 531

the graphs for the two months :
similarities : they both have the same slope of -2/3
differences : they have different x and y intercepts
By the way, these are parallel lines
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sorry about the last one....can't see the 3rd month graph