Final answer:
The rate is 240 beats in 3 minutes, which can be written as the fraction 80/1. The unit rate is 80 beats per 1 minute (80 bpm). To find the unit rate, we divide the total beats by the total time. The unit rate represents the speed at which Sam's heart is beating during jumping jacks.
Step-by-step explanation:
A) The rate, written as a fraction, is 240 beats in 3 minutes. To write this as a fraction, we can put the beats over the total minutes: 240/3 = 80/1 = 80.
B) The unit rate is the amount of beats per minute. In this situation, the unit rate is 80 beats per 1 minute, or 80 bpm.
C) To find the unit rate, we divide the total beats by the total time. In this problem, we divided 240 beats by 3 minutes to get the unit rate of 80 bpm. We do this because we want to know how many beats occur in each minute.
D) The unit rate means that Sam's heart is beating at 80 beats per minute while doing jumping jacks. It represents the speed at which his heart is beating during this activity.
E) To check our work, we can multiply the unit rate (80 bpm) by the total time (3 minutes) to see if we get the total beats (240). 80 bpm * 3 minutes = 240 beats, which matches the given information, so our work is correct.