Question

Please help me ASAP.

David had a coupon for the grocery store. He graphed on the x-axis what his total bill would be if he didn’t use the coupon and graphed on the y-axis what his total bill would be if he used the coupon.

Based on the information in the graph, if David’s bill came to $66 after the coupon was applied, how much would his bill have been if he hadn’t used the coupon?

a.$64
b. $65
c. $67
d. $68

Answer 1

I would say D. $68 since the graph shows each bill with coupon being two dollars less than without.

Answer 2

Answer:

d. $68

Step-by-step explanation:

First, let's find the equation of the line.

The slope is defined by

$m=\frac{y_{2} -y_{1} }{x_{2}-x_{1} }$

Where we are gonna use points (2,0) and (9,7).

$m=\frac{7-0}{9-2}=\frac{7}{7}=1$

Then, we use the point-slope formula to find the equation.

$y-y_{1} =m(x-x_{1} )\\y-0=1(x-2)\\y=x-2$

So, if David's bill came to $66 after coupon, it means $y=66$.

Replacing this value in the equation, we have

$y=x-2\\66=x-2\\x=66+2\\x=68$

Therefore, the price without coupon is $68.