Final answer:
Jarvis and Lauren each have a driving rate equivalent to 65 miles per hour, while Kate and Marcus each have a driving rate equivalent to 60 miles per hour. The calculations are based on converting their respective distances and times to a unit rate of miles per hour.
Step-by-step explanation:
Calculating Equivalent Unit Rates
To find the equivalent unit rate of each person's driving rate, we must calculate how many miles each person drives in one hour. Let's break down each person's driving rate:
- Jarvis drives 13 miles in 1/5 hour. To find the equivalent, we divide 13 by 1/5, which is the same as multiplying 13 by 5, giving us 65 miles per hour.
- Kate drives 5 miles in 1/12 hour. Dividing 5 by 1/12 is the same as multiplying 5 by 12, yielding 60 miles per hour.
- Lauren drives 32 1/2 (which is 32.5) miles in 1/2 hour. Dividing 32.5 by 1/2 is the same as multiplying 32.5 by 2, resulting in 65 miles per hour.
- Marcus drives 37 1/2 (which is 37.5) miles in 5/8 hour. To find the unit rate, we divide 37.5 by 5/8, equivalent to multiplying 37.5 by 8/5, giving us 60 miles per hour.
These calculations reveal that Jarvis's and Lauren's driving rates are equivalent to 65 miles per hour while Kate's and Marcus's rates are equivalent to 60 miles per hour.