Question

a blue marble can make 8.45 laps around a track in 22.15 seconds. Meanwhile, a yellow marble makes 7.50 laps around a track every 15 seconds. What is the unit rate for the marble that circles the track faster?

Answer 1

The yellow marble circles the track faster with a unit rate of 0.5 laps per second, compared to the blue marble's 0.3815 laps per second.

Step-by-step explanation:

We need to calculate the unit rate at which each marble circles the track to determine which one is faster. The unit rate is the number of laps per second.

• For the blue marble: 8.45 laps in 22.15 seconds means the unit rate is 8.45 laps divided by 22.15 seconds, which equates to approximately 0.3815 laps per second.
• For the yellow marble: 7.50 laps in 15 seconds means the unit rate is 7.50 laps divided by 15 seconds, which is exactly 0.5 laps per second.

Comparing these values, the yellow marble has a higher unit rate of 0.5 laps per second. Therefore, the yellow marble circles the track faster.