Answer
a. The lower limit of the heart range, in beats per minute, for a 30-year-old with this exercise goal is 95 beats per minute.
b. The upper limit of the heart range, in beats per minute, for a 30-year-old with this exercise goal is 114 beats per minute.
Work Step by Step
The age is known, so plug the age into the given equation for the lower limit of the range.
a. $\frac{1}{2}\times(220-30) = \frac{1}{2}\times190$
$=95$
Using the same method as before, plug the age into the equation for the upper limit of the range.
b. $\frac{3}{5}\times(220-30) = \frac{3}{5}\times190$
$=114$