Charlie and Kyle are training for a track meet. Charlie's practice times for an event are represented on the graph, where y = the total miles run and x = the number of hours. Kyle's practice times for the same event are represented by the linear function y = 7.5x. Which statement BEST describes the rates of the runners?

Answer 1

To compare the rates of Charlie and Kyle based on their practice times, we need to analyze both their representations.

1. Kyle's Rate: The function for Kyle's practice times is given by \( y = 7.5x \). This indicates that for every hour he practices, he runs a total of 7.5 miles. Thus, Kyle has a rate of 7.5 miles per hour.

2. Charlie’s Rate: Since we don't have the specific graph you're referring to, you would need to observe the slope of the graph representing Charlie's practice times. The slope of the line on the graph (or the increase in total miles run per hour) will determine Charlie's running rate.

• If the slope is greater than 7.5, Charlie runs faster than Kyle.
• If the slope is less than 7.5, Kyle runs faster than Charlie.
• If the slope is equal to 7.5, they run at the same pace.

The best statement to describe the rates of the runners would depend on the analysis of Charlie's graph. However, if we reiterate the steps for you:

• Check the slope of Charlie's graph to ascertain his running rate.
• Compare it to Kyle's rate of 7.5 miles per hour to identify who runs faster.

If you can provide further information about Charlie's performance or the details represented in the graph, I can help you determine the best statement regarding their rates.