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. describe how you would graph this line using the slope-intercept method. be sure to write using complete sentences

Answer 1

y=-3/2x+745

Explanation:

so u you convert standard form to slope intercept which would be y=-3/2x+745 the y intercept is 745 and the slope (rise over run is the -3/2).

Answer 2

1. slope intercept form is y=mx+b, where m is the slope and b is y-intercept. To write this in slope intercept form we must isolate the y.

2x+3y=1470

2x+3y-2x=1470-2x( subtraction will cancel the positive 2x on the left side)

3y=-2x+1470 ( since they are not like terms we can not combine them, we leave them separate)

3y/3=-2/3x+1470/3( cancel the 3 by dividing, EVERYTHING IN THE EQUATION gets divided to keep it equal)

So, y=2/3x+490 in other words the slope of the equation is -2/3 and the y-intercept is 490.

2. To graph this equation plot 490 on the y-axis first, seeing it is the y-intercept. Then count over to the right 3 and down 2, to find your next point and do this for every other point.

.3. In function notation this would look like this : f(x)=-2/3x+490. This function shows how the profit on wrap specials has changed as the number of sandwich specials sold increases

5. The next month Sals profit increased. The function changes because the y-intercept changes. The slope will stay the same.

Explanation: