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

d. $68

Explanation:

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

The slope is defined by

`m=(y_(2) -y_(1) )/(x_(2)-x_(1) )`

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

`m=(7-0)/(9-2)=(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.