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

ANSWER

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 $\frac{distance}{time}$ tells us the speed at which they travel towards their home.

$Speed=|\frac{0-400}{8-0}| =|-50|=50$.

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.

Answer 2

You have everything right. If you look, it says Y is distance from home, and X is the time they spent driving.
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