The relationship between the distance hiked (d) and the time spent hiking (90 minutes) based on his rate of 0.125 miles per minute.
To determine how far Arnefee could hike in 90 minutes if he continues at the same rate, we need to find the relationship between the distance he hikes and the time he spends hiking.
We can express this relationship as a proportion.
1. Find the Rate of Hiking:
Distance hiked = 5 miles
Time spent hiking = 40 minutes
Rate of Hiking = Distance / Time
Rate = 5 miles / 40 minutes
Rate = 0.125 miles per minute
2. Form the Proportion:
We want to know the distance he could hike in 90 minutes. Let's call this unknown distance "d".
We know his rate is 0.125 miles per minute.
We know the time he will be hiking is 90 minutes.
Proportion:
d / 90 minutes = 0.125 miles per minute
This proportion represents the relationship between the distance hiked (d) and the time spent hiking (90 minutes) based on his rate of 0.125 miles per minute.