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

45.5 hours
45.5 hours

28 hours
28 hours

321.6 hours
321.6 hours

4.2 hours
4.2 hours

Answer 1

To find out how long it will take Mariah to travel 36.75 miles, we can use the given function \( y = 8.75x \).

Here, \( y \) is the distance and \( x \) is the time in hours. We can set \( y \) to 36.75 miles and solve for \( x \):

\[
36.75 = 8.75x
\]

To solve for \( x \), divide both sides by 8.75:

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

Calculating this gives:

\[
x = 4.2
\]

So, it will take Mariah 4.2 hours to travel 36.75 miles. The correct response is:

**4.2 hours**.