Question

The Masons are driving home from a trip. The function graphed models the Masons' distance from home, y, in miles, after x hours of driving.

What do the key features of the graph indicate in this situation?

Drag and drop the answers into the boxes.

Answer 1

You have everything right. If you look, it says Y is distance from home, and X is the time they spent driving.
I took the test and made a 100%

Answer 2

The key features are:

1. The y-intercept which is
`(0,400)`.

This means that at time
`x=0`, the Masons are
`400` miles away from home.

2. The x-intercept which is
`(8,0)`.

This means after
`8` hours the Masons reached home.

The reason is that
`y=0` miles. This means that there is no distance between the Masons and their home.

3. The slope of the graph which is
`(distance)/(time)` tells us the speed at which they travel towards their home.

`Speed=|(0-400)/(8-0)| =|-50|=50`.

This means they traveled at a speed of
`50miles/hour`.

The negative slope of the graph tell us that the distance is reducing as they approach their home.