Final answer:
Equations must account for the correct conversion of time units and the use of significant figures in measurements. Percentiles help to understand a runner's performance compared to others.
Step-by-step explanation:
To determine whether each equation correctly describes the relationship between the distance she runs in miles, d, and her running speed in miles per hour, we need to consider the given information.
The student runs for 30 minutes a day. Since speed is measured in miles per hour, we need to convert the time from minutes to hours. There are 60 minutes in an hour, so 30 minutes is equal to 30/60 = 0.5 hours.
Now, let's evaluate each equation:
1) d = 2 * 0.5
This equation suggests that the distance, d, is equal to 2 times the running speed. Since the speed is given as 0.5 hours, multiplying it by 2 gives us 1 mile. Therefore, this equation correctly describes the relationship between the distance she runs and her running speed. The answer is Yes.
2) d = 0.5 / 2
This equation suggests that the distance, d, is equal to the running speed divided by 2. Since the speed is given as 0.5 hours, dividing it by 2 gives us 0.25 miles. However, this contradicts the given information that the student runs for 30 minutes, which is equal to 0.5 hours. Therefore, this equation does not correctly describe the relationship between the distance she runs and her running speed. The answer is No.