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

Answer:

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

Step-by-step 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:

$m = \frac{y_2 -y_1}{x_2- x_1}$

$m = \frac{0 - 350}{7-0}$

$m = -\frac{350}{7}$

$m = -50$

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

(b) is correct

Others are incorrect