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When a grizzly bear hibernates, its heart rate drops to 10 beats per minute, which is 
20% of its normal value. What is a grizzly bear's normal heart rate, in beats per minute, when not hibernating?

When a grizzly bear hibernates, its heart rate drops to 1010 beats per minute, which is 20% 20 \% of its normal value. What is a grizzly bear's normal heart rate, in beats per minute, when not hibernating?

Full solution

Q. When a grizzly bear hibernates, its heart rate drops to 1010 beats per minute, which is 20% 20 \% of its normal value. What is a grizzly bear's normal heart rate, in beats per minute, when not hibernating?
  1. Identify normal heart rate: Let nn be the normal heart rate of the grizzly bear in beats per minute.\newlineIdentify the expression for 20%20\% of the normal heart rate.\newlineExpression for hibernating heart rate: 20%(n)=0.20×n20\%(n) = 0.20 \times n
  2. Expression for hibernating heart rate: We found: Expression for hibernating heart rate is 0.20×n0.20 \times n\newlineWe know: Value for hibernating heart rate is 1010 beats per minute\newlineSet up an equation to find nn, the normal heart rate.\newlineEquation for hibernating heart rate is 10=0.20×n10 = 0.20 \times n
  3. Set up equation for normal heart rate: We found: 10=0.20×n10 = 0.20 \times n\newlineSolve for nn.\newline0.20×n=100.20 \times n = 10\newlinen=100.20n = \frac{10}{0.20}\newlinen=50n = 50\newlineThe normal heart rate of a grizzly bear is 5050 beats per minute when not hibernating.