Question

Determine whether the following scenario represents a direct variation and describe why or why not: Jordan runs 1 mile every 7 minutes.

A. Yes, it represents a direct variation because there is a constant rate of 1/7 miles per minute.
B. No, it does not represent a direct variation because the rate of running may change.
C. Yes, it represents a direct variation because Jordan always runs 1 mile.
D. No, it does not represent a direct variation because the time and distance are not directly related.

Answer 1

The scenario of Jordan running 1 mile every 7 minutes does represent a direct variation because there is a constant rate of 1/7 miles per minute, indicating a proportional relationship between distance and time.

Step-by-step explanation:

The question asks us to determine whether the scenario of Jordan running 1 mile every 7 minutes represents a direct variation. Direct variation occurs when one variable is a constant multiple of the other, which means that as one variable increases or decreases, the other variable increases or decreases at a constant rate. In Jordan's case, the distance he runs (miles) is always directly proportional to the time he takes (minutes). There is a constant ratio of distance to time, which is 1 mile per 7 minutes or 1/7 mile per minute. This means for every additional minute Jordan runs, he covers an additional 1/7 mile. Hence, the correct answer is: A. Yes, it represents a direct variation because there is a constant rate of 1/7 miles per minute.