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

1 answer

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.