Question

consider the graph of miriams bike ride to answer the questions. how many hours did miriam stop to rest? how many hours did it take miriam to bike the initial 8 miles?

Explanation:

Step1: Determine rest time

When Miriam is resting, the distance from home does not change. The horizontal part of the graph (where distance is constant at 8 miles) starts at 45 minutes and ends at 105 minutes. The time difference is \(105 - 45=60\) minutes. Since \(60\) minutes \( = 1\) hour.

Step2: Determine time for initial 8 miles

The time to bike the initial 8 miles is the time when the distance reaches 8 miles for the first - time. Looking at the graph, the distance reaches 8 miles at 45 minutes. Since \(45\) minutes \(=\frac{45}{60}=\frac{3}{4}=0.75\) hour.

Answer:

Miriam stopped to rest for \(1\) hour. It took Miriam \(0.75\) hours to bike the initial 8 miles.