Question

Makayla and Tomeisha walk from their apartments to meet for lunch. Makayla walks at a constant speed and she travels 24 blocks in 1/3 of an hour. Tomeisha's constant speed is represented by the equation "y = 30x", where "y" represents her distance, in blocks, and "x" represents her time, in hours. Who will get to the restaurant later? Explain how you know.

A. Makayla; Tomeisha's speed is constant.
B. Tomeisha; Makayla's speed is constant.
C. They will arrive at the same time.
D. It cannot be determined with the given information.

Answer 1

Tomeisha will arrive at the restaurant later because her walking speed is 30 blocks per hour, while Makayla's is faster at 72 blocks per hour. The correct answer is B. Tomeisha; Makayla's speed is constant.

Step-by-step explanation:

To determine who will get to the restaurant later between Makayla and Tomeisha, we need to compare their walking speeds. Makayla walks 24 blocks in 1/3 of an hour, so her speed is 72 blocks per hour (since 24 blocks × 3 = 72 blocks).

Tomeisha's speed is given by the equation y = 30x, where y is the distance in blocks and x is the time in hours. This means Tomeisha's speed is 30 blocks per hour.

Since Makayla's speed is 72 blocks per hour and Tomeisha's speed is 30 blocks per hour, Makayla is walking faster than Tomeisha.

Therefore, Tomeisha will get to the restaurant later as long as they start walking at the same time and the distance they have to travel is the same. The correct answer is B. Tomeisha; Makayla's speed is constant.