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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.
2)Describe how you would graph this line using the slope-intercept method. Be sure to write using complete sentences. 3)Write the equation in function notation. Explain what the graph of the function represents. Be sure to use complete sentences. 4)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.
@pinkbubbles you think you can help??? please

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To use the slope-intercept method, you need to have the equation in the form: \(y = mx + b\) You need to solve the given equation for y.
\(2x + 3y = 1470\) Subtract 2x from both sides \(3y = -2x + 1470\) Divide both sides by 3 \(y = -\dfrac{2}{3} x + 490\) Now you have the equation in the slope-intercept form.
i need to solve?
No. BTW, I see the statement of the problem, then I see part 2). Is there a part 1) question?
yes, but part 1 i already did i just need 2-4
Ok. 2) To graph, first, you put a point on y = 490 on the y-axis since that is the y-intercept. Then you can rewrite the slope as -2/3. The slope is the difference in y over the difference in x. To find other points of the graph, start at the point (0, 490) you already have, and move 2 units down and 3 to the right. That is what the slope tells you. This is another point. Then you can get one or two more points the same way. You go 2 units down and 3 to the right. every stop is another point. Then draw a line through all these points.
3) Function notation is simply to use f(x) instead of y, so this equation in function notation is: \(f(x) = -\dfrac{2}{3}x + 490\)
The graph of the function shows every point that is a number of $2 lunches and $3 lunches that can add up to $1470.
and number 4?
4) Using technology http://www.wolframalpha.com/input/?i=plot+y+%3D+-2%2F3+x+%2B+490
The y-intercept is 490. we already know that. The x-intercept can be calculated from the equation. 2x + 3y = 1470 At the x-intercept, y = 0, so let y = 0 in the equation of the line 2x + 3(0) = 1470 2x = 1470 x = 735
If you want to do 4) without technology, do this: |dw:1437602715963:dw|
Ok, gtg. Bye.
so, the answer for number 4 its that graph ?
Yes.
Make sure you show 490 on the y-axis and 735 on the x-axis bec those are the intercepts, and they ask that you show the intercepts.

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