Question 6

Maria will walk 7x/15 more yards in the next 7 minutes.

To determine how many more yards Maria will walk in the next 7 minutes, we first need to find her average walking rate and then calculate the distance covered in that time. Given that she walks x yards in 15 minutes, her rate is x/15 yards per minute. Therefore, in 7 minutes, she will walk (x/15) * 7 = 7x/15 yards.

A) 15x/7

This option is incorrect because it suggests a distance that is not based on the time interval provided. The expression 15x/7 does not relate to the 7-minute time frame and does not represent the correct calculation of distance based on her rate.

B) (x/15)+7

This option is incorrect as it incorrectly adds 7 to the average rate of x/15 yards per minute. The calculation does not reflect the actual distance walked in 7 minutes, which should be based on multiplying the rate by the time, not adding a constant.

C) (x+7)/15

This option is also incorrect because it implies incorrectly averaging a total of x yards and an arbitrary 7, then dividing by 15. This does not represent the distance covered in a specific time and fails to account for the rate of walking.

D) 7x/15

This option is correct as it accurately reflects the distance Maria will walk in 7 minutes. By calculating her walking rate of x/15 yards per minute and multiplying it by 7 minutes, we arrive at the correct distance of 7x/15 yards.

Conclusion

The correct answer, 7x/15, directly relates to Maria's consistent walking rate over the specified time interval. All other options fail to accurately represent the mathematical relationship needed to calculate the distance walked in the additional 7 minutes, either by miscalculating or misrepresenting the average rate.