Question

Mariah rides her bike every day. The function y=8.75x
represents the distance traveled, y, after x hours. At this rate, how long will it take Mariah to travel 36.75 miles?(1 point)
Responses

321.6 hours
321.6 hours

45.5 hours
45.5 hours

28 hours
28 hours

4.2 hours

Answer 1

To find out how long it will take Mariah to travel 36.75 miles at a rate of 8.75 miles per hour, we can set up the equation using the function \( y = 8.75x \).

Here, \( y \) represents the distance (in miles), and \( x \) represents the time (in hours). We can rearrange the equation to solve for \( x \):

\[
x = \frac{y}{8.75}
\]

Substituting \( y = 36.75 \) into the equation gives us:

\[
x = \frac{36.75}{8.75}
\]

Now, performing the division:

\[
x = 4.2
\]

Thus, it will take Mariah **4.2 hours** to travel 36.75 miles.

The correct response is **4.2 hours**.