Question

Melina and Quinn use the same treadmill. Melina takes 1.5 point, 5-mile walks on the treadmill, while Quinn takes 6.5 point, 5-mile runs. If the treadmill logged over 100 miles in one month, which of the following inequalities represents the situation if m is the number of times Melina used the treadmill and q is the number of times Quinn used the treadmill that month?

Answer 1

Step-by-step explanation:

To represent the situation, we can set up an inequality based on the total distance covered by both Melina and Quinn on the treadmill.

Given that Melina takes 1.5 point, 5-mile walks on the treadmill and Quinn takes 6.5 point, 5-mile runs, we can calculate the total distance covered by Melina as 1.5 5 m (where 'm' is the number of times Melina used the treadmill), and the total distance covered by Quinn as 6.5 5 q (where 'q' is the number of times Quinn used the treadmill).

If the treadmill logged over 100 miles in one month, we can write the following inequality to represent the situation:

1.5 5 m + 6.5 5 q > 100

Simplifying, we have:

7.5m + 32.5q > 100

Therefore, the inequality that represents the situation if 'm' is the number of times Melina used the treadmill, and 'q' is the number of times Quinn used the treadmill in one month is:

7.5m + 32.5q > 100