Find the unit rate.

Roger's heart rate (82 beats per minute) for 30 seconds.

30 seconds = 1/2 of 60

82/2 - 41 beats in 30 seconds

So for this you would use 82 beats per 60 seconds.

82 beats/x=60 seconds/30seconds. just find x by cross multiplication and division. I got 41 beats per 30 seconds. I hope its not confusing

To find the unit rate, we need to determine how many beats occur in one second.

Given that Roger's heart rate is 82 beats per minute, we first need to convert minutes to seconds since we are looking for the rate per second. There are 60 seconds in one minute.

So, the heart rate in beats per second can be calculated as follows:

82 beats per minute * 1 minute / 60 seconds = 82/60 beats per second

Simplifying the fraction:

82/60 = 41/30

Therefore, the unit rate for Roger's heart rate is 41/30 beats per second.