Question

elena rode her bike 2 miles in 10 minutes. she rode at a constant speed. complete the table to show the time it took her to travel different distances at this speed. type your answers in the boxes below. distance traveled (miles) elapsed time (minutes) 2 10 1 \boxed{} \boxed{} 1

Explanation:

Step1: Find unit rate for time per mile

Elena rode 2 miles in 10 minutes. To find time for 1 mile, divide total time by total miles. So, time per mile = \( \frac{10}{2} = 5 \) minutes per mile. For distance = 1 mile, time = 5 minutes.

Step2: Find distance for 1 minute

Speed is constant, so distance per minute = \( \frac{2}{10} = 0.2 \) miles per minute. For time = 1 minute, distance = 0.2 miles (or \( \frac{1}{5} \) miles).

Answer:

For distance 1 mile, elapsed time is 5 minutes. For elapsed time 1 minute, distance traveled is 0.2 (or \( \frac{1}{5} \)) miles. So the filled table cells are 5 (for distance 1 mile) and 0.2 (or \( \frac{1}{5} \)) (for time 1 minute).