Final answer:
To find the unit rate at which Jill was traveling, we convert the mixed numbers to improper fractions and divide distance by time, which results in a unit rate of approximately 1.81 miles per hour.
Step-by-step explanation:
The student has asked to find the unit rate at which Jill was traveling. To calculate the unit rate, we divide the total distance by the total time. Jill walked 4 1/3 miles in 2 2/5 hours.
To simplify, we first convert the mixed numbers into improper fractions. 4 1/3 miles becomes ⅜3/3 + 1/3⅝ which is 13/3 miles, and 2 2/5 hours becomes ⅜2 × 5/5 + 2/5⅝ which is 12/5 hours. The unit rate is then calculated by dividing the distance by the time:
Unit Rate (miles per hour) = Distance (miles) / Time (hours)
= ⅜13/3 miles⅝ / ⅜12/5 hours⅝
= ⅜13⅝ x ⅜5⅝ / ⅜3⅝ x ⅜12⅝
= ⅜65 ⅝ / ⅜36⅝
= 1.8055...
The unit rate at which Jill was traveling is approximately 1.81 miles per hour.