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

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:

\[
y = 8.75x
\]

where \( y \) is the distance traveled and \( x \) is the time in hours. We need to solve for \( x \) when \( y = 36.75 \).

Setting up the equation:

\[
36.75 = 8.75x
\]

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

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

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**.