Question
On Monday you go 4 miles in 40 minutes and on Wednesday you go 2 miles in 16 minutes Write an equation where y is the number of miles and x is the time in minutes for the day you ran the fast for the week
y = 0.125x
y = 8x
y = 10x
y = 0.1x
y = 0.125x
y = 8x
y = 10x
y = 0.1x
Answers
GPT-4o mini
To find the equation that represents the relationship between the number of miles (y) and the time in minutes (x) for the day you ran the fastest, we need to first calculate the speed for each day.
1. **Monday**: You ran 4 miles in 40 minutes.
- Speed = Distance / Time = 4 miles / 40 minutes = 0.1 miles per minute.
2. **Wednesday**: You ran 2 miles in 16 minutes.
- Speed = Distance / Time = 2 miles / 16 minutes = 0.125 miles per minute.
Now, we need to compare the two speeds. The fastest speed is from Wednesday, which is 0.125 miles per minute.
The equation representing the fastest day would be:
\[
y = 0.125x
\]
So the correct answer is:
\[
y = 0.125x
\]
1. **Monday**: You ran 4 miles in 40 minutes.
- Speed = Distance / Time = 4 miles / 40 minutes = 0.1 miles per minute.
2. **Wednesday**: You ran 2 miles in 16 minutes.
- Speed = Distance / Time = 2 miles / 16 minutes = 0.125 miles per minute.
Now, we need to compare the two speeds. The fastest speed is from Wednesday, which is 0.125 miles per minute.
The equation representing the fastest day would be:
\[
y = 0.125x
\]
So the correct answer is:
\[
y = 0.125x
\]