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QuestionFind the upper limit of the heart range for a 27-year-old, given lower limit H=710(220−a)H=\frac{7}{10}(220-a).

Studdy Solution

STEP 1

Assumptions1. The lower limit of the heart rate is given by the formula H=710(220−a)H=\frac{7}{10}(220-a). The upper limit of the heart rate is given by the formula H=45(220−a)H=\frac{4}{5}(220-a)3. The age of the person is27 years4. The lower limit of the heart rate for a27-year-old is135 beats per minute

STEP 2

First, we need to find the upper limit of the heart rate for a27-year-old. We can do this by substituting the age into the formula for the upper limit.
H=45(220−a)H=\frac{4}{5}(220-a)

STEP 3

Now, plug in the given value for the age into the formula to calculate the upper limit of the heart rate.
H=5(220−27)H=\frac{}{5}(220-27)

STEP 4

Calculate the value inside the brackets.
H=4(193)H=\frac{4}{}(193)

STEP 5

Multiply the value inside the brackets by the fraction to calculate the upper limit of the heart rate.
H=45(193)=154.4H=\frac{4}{5}(193) =154.4

STEP 6

Since we need to round to the nearest integer, the upper limit of the heart rate for a27-year-old is154 beats per minute.
The upper limit of the heart range for a27-year-old with this exercise goal is154 beats per minute.

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