Question
Mariah rides her bike every day. The function y 8.75z represents the distance traveled, y, after x hours. At this rate, how long will it take Mariah to travel 36.75 miles? (1 point
Answers
GPT-4o mini
To find out how long it will take Mariah to travel 36.75 miles given the function \( y = 8.75z \), where \( y \) represents the distance traveled and \( z \) represents the time in hours, we can set \( y \) to 36.75 miles and solve for \( z \).
Starting with the equation:
\[
y = 8.75z
\]
We substitute \( y \) with 36.75 miles:
\[
36.75 = 8.75z
\]
Next, we can solve for \( z \) by dividing both sides by 8.75:
\[
z = \frac{36.75}{8.75}
\]
Calculating that gives:
\[
z = 4.2
\]
So it will take Mariah **4.2 hours** to travel 36.75 miles.
Starting with the equation:
\[
y = 8.75z
\]
We substitute \( y \) with 36.75 miles:
\[
36.75 = 8.75z
\]
Next, we can solve for \( z \) by dividing both sides by 8.75:
\[
z = \frac{36.75}{8.75}
\]
Calculating that gives:
\[
z = 4.2
\]
So it will take Mariah **4.2 hours** to travel 36.75 miles.