Math Snap

STEP 1

Assumptions1. The lower limit of the heart rate is given by the formula $H=\frac{7}{10}(220-a)$. The upper limit of the heart rate is given by the formula $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.
$$H=\frac{4}{5}(220-a)$$

STEP 3

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

STEP 4

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

STEP 5

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

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.