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

Answer:

y = (-2/3)x + 490

Step-by-step explanation:

Our given equation is 2x + 3y = 1,470.

First subtract 2x from both sides of the equation:

3y = 1470 - 2x

Next divide both sides by 3:

y = 490 - (2/3)x

Move the terms on the right to fit the slope-intercept form (y = mx + b):

y = (-2/3)x + 490

Answer 2

Answer:

2x + 3y = 1470

=> 3y = 1470 -2x

=> y = 1470/3 - 2/3x

=> y = -2/3x + 490

First, I made the 3y alone by subtracting 2x to both sides.

Next, I divided 3 from both sides to make y alone.

Lastly, I got the slope-intercept form.

Slope = the number with which "x" is multiplied.

So, In this equation slope = -2/3

Y-intercept can be found my making the x as 0

=> y = -2/3(0) + 490

=> y = 490

So, the y-intercept is (0,490)

X-Intercept can be found by making y as 0

=> 0 = -2/3x + 490

=> -490 = -2/3x

=> -490 * 3 = -2x

=> -1470 = -2x

=> -1470/2 = -x

=> -735 = -x

=> x = 735

So, x-intercept = (735,0)