identify two rate pairs that represent the same ratio as a heart rate of 72 beats per 60 seconds
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72:60 = 36:30 = 18:15
To find two rate pairs that represent the same ratio as a heart rate of 72 beats per 60 seconds, we can use a proportion. A proportion states that two ratios are equal.
The given heart rate is 72 beats per 60 seconds. We can express this ratio as: 72/60.
To find other rate pairs with the same ratio, we need to scale both the numerator and denominator by the same factor. Let's scale it by 2:
Numerator: 72/1 * 2 = 144
Denominator: 60/1 * 2 = 120
Therefore, another rate pair that represents the same ratio as 72 beats per 60 seconds is 144 beats per 120 seconds.
We can scale it further by 3:
Numerator: 72/1 * 3 = 216
Denominator: 60/1 * 3 = 180
Thus, a third rate pair representing the same ratio is 216 beats per 180 seconds.
In summary, the two rate pairs that represent the same ratio as a heart rate of 72 beats per 60 seconds are:
1. 144 beats per 120 seconds
2. 216 beats per 180 seconds