Question

The graph shows the relationship between the number of hours that Michelle has been driving and the distance that she has left to travel to get to her destination.

A graph on a coordinate plane titled Distance Remaining Over Time. The x-axis is labeled time (in hours), numbered 1 to 8, and the y-axis is labeled miles to destination, numbered 50 to 400. A straight line with a negative slope starts at point (0, 350) and ends at point (7, 0).

Which statement is true?

It took Michelle 6 hours to complete the trip.
For each hour that Michelle drove, she traveled an additional 50 miles.
In the first 6 hours, Michelle had traveled a total of 50 miles.
In the first 3 hours, Michelle had traveled a total of 200 mile\

Answer 1

B

Explanation:

I did it

Answer 2

(b) For each hour that Michelle drove, she traveled an additional 50 miles.

Explanation:

Given

`(x_1,y_1) = (0,350)` ---- start

`(x_2,y_2) = (7,0)` --- end

Required

Which is true

(a): Journey = 6 hours

This is false, because:

`x = x_2 - x_1`

`x = 7-0`

`x = 7` ---- 7 hours

(b): The average rate is 50 miles per hour

To do this, we calculate the slope (m) using:

`m = (y_2 -y_1)/(x_2- x_1)`

`m = (0 - 350)/(7-0)`

`m = -(350)/(7)`

`m = -50`

This means that the rate is 50 miles driven in 1 hour.

(b) is correct

Others are incorrect