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
321.6 hours
321.6 hours
4.2 hours
4.2 hours
28 hours
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
321.6 hours
321.6 hours
4.2 hours
4.2 hours
28 hours
Answers
GPT-4o mini
To find out how long it will take Mariah to travel 36.75 miles, we can use the given function:
\[ y = 8.75x \]
where \( y \) is the distance traveled (in miles) and \( x \) is the time (in hours).
We need to find \( x \) when \( y = 36.75 \):
\[ 36.75 = 8.75x \]
To solve for \( x \), we divide both sides of the equation by 8.75:
\[ x = \frac{36.75}{8.75} \]
Calculating that gives:
\[ x = 4.2 \]
So, it will take Mariah **4.2 hours** to travel 36.75 miles.
Thus, the correct response is **4.2 hours**.
\[ y = 8.75x \]
where \( y \) is the distance traveled (in miles) and \( x \) is the time (in hours).
We need to find \( x \) when \( y = 36.75 \):
\[ 36.75 = 8.75x \]
To solve for \( x \), we divide both sides of the equation by 8.75:
\[ x = \frac{36.75}{8.75} \]
Calculating that gives:
\[ x = 4.2 \]
So, it will take Mariah **4.2 hours** to travel 36.75 miles.
Thus, the correct response is **4.2 hours**.