Question

Mariah rides her bike every day. The function y=8.75x
𝑦
=
8.75
𝑥
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

Answers

GPT-4o mini
To find out how long it takes Mariah to travel 36.75 miles, we can use the function given:

\[ y = 8.75x \]

Where:
- \( y \) is the distance traveled in miles
- \( x \) is the time in hours

Now we need to set \( y \) equal to 36.75 miles and solve for \( x \):

\[ 36.75 = 8.75x \]

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

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

Now, calculate \( x \):

\[ x = 4.2 \]

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