Question

John and Danell know that regular exercise strengthens your heart. They know that a person’s heart rate should not exceed a certain limit during exercise. The maximum rate R is represented by the equation R = 0.8(220 − y) where y is the person’s age in years. Determine the age of a person whose maximum heart rate during exercise is 164.

Answer 1

To determine the age of a person whose maximum heart rate during exercise is 164, we can use the equation R = 0.8(220 - y), where R represents the maximum heart rate and y represents the person's age in years. By solving the equation, we find that the age of the person is 15 years old.

Step-by-step explanation:

To determine the age of a person whose maximum heart rate during exercise is 164, we can use the equation R = 0.8(220 - y), where R represents the maximum heart rate and y represents the person's age in years. We can plug in the value of R as 164 and solve for y:

R = 0.8(220 - y)

164 = 0.8(220 - y)

Dividing both sides of the equation by 0.8:

164 / 0.8 = 220 - y

205 = 220 - y

Subtracting 220 from both sides of the equation:

205 - 220 = -y

-15 = -y

Multiplying both sides of the equation by -1:

-1 * -15 = -1 * -y

15 = y

The age of the person whose maximum heart rate during exercise is 164 is 15 years old.