Question

Darnell was driving down the road at a constant speed of 40 miles per hour.

What function could model this situation?

Answer 1

`X = v t`

Where:

X represent the distance travelled in miles

v= 40 mi/hr represent the velocity

t represent the time in hours

So then our function for this situation would be:

`X = 40t`

And thi function represent a linear function without intercept and the slope 40, and that means for each increase of the time in 1 hour travelling at this speed rate constant the distance would be increased 40 miles

Explanation:

We assume that the velocity is constant and given by:

`v = 40 (mi)/(hr)`

And when we have this case we can model the distance travelled with the following formula:

`X = v t`

Where:

X represent the distance travelled in miles

v= 40 mi/hr represent the velocity

t represent the time in hours

So then our function for this situation would be:

`X = 40t`

And thi function represent a linear function without intercept and the slope 40, and that means for each increase of the time in 1 hour travelling at this speed rate constant the distance would be increased 40 miles