Question

Converting Quantities Shown in a Graph

A graph shows time (minutes), numbered 15 to 135 on the horizontal axis, and distance from home (miles) labeled 1 to 10 on the vertical axis. The line shows an increase to 8 miles at 45 minutes, constant, and decrease at 90 minutes.

Consider the graph of Miriam's 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?

Answer 1

Miriam stopped to rest for 0.75 hours and the initial 8 miles also took 0.75 hours .

From the graph, the point where Miriam stopped to rest is depicted by the horizontal line between 8 miles (on the y-axis).

This started at 45 minutes and lasted till 90 minutes (on the x - axis)

Now we can calculate the duration ;

• 90 - 45 = 45 minutes ≈ 0.75 hours .

The time taken to bike the initial 8 miles can be obtained by tracing the line to 8 miles on the y-axis and taking the corresponding time value on the x - axis.

This time points to 45 minutes .

Hence, the initial 8 miles took 45 minutes ≈ 0.75 hours