Question

the graph represents the distance a bicyclist travels, in meters, based on the number of seconds the bicyclist has been riding, when 0 ≤ x ≤ 7. which units would be the most appropriate for the rate of change in the graph?
options:

• (\frac{\text{hours}}{\text{mile}})
• (\frac{\text{meters}}{\text{second}})
• (\frac{\text{miles}}{\text{hour}})
• (\frac{\text{seconds}}{\text{meter}})

Explanation:

Step1: Identify axes units

The x - axis is time in seconds, and the y - axis is distance in meters.

Step2: Determine rate units

Rate (speed) is distance divided by time. So units should be distance units over time units. Distance is in meters, time is in seconds, so rate units are $\frac{\text{meters}}{\text{second}}$.
Looking at the options, the option with $\frac{\text{meters}}{\text{second}}$ is the correct one (the third option from the left, labeled as $\frac{\text{meters}}{\text{second}}$).

Answer:

The option with $\frac{\text{meters}}{\text{second}}$ (the third option from the left in the unit options)