Chapter 1.2, Problem 25E

Round all answers to two decimal places unless otherwise indicated.

25. The Margaria-Kalamen Test The Margaria Kalamen test is used by physical educators as a measure of leg strength. An individual runs up a staircase, and the elapsed time from the third to the ninth step is recorded. The power score is calculated using a formula involving the individual’s weight, the height of the stairs, and the running time. The following table shows the power scores required of men for an excellent rating for selected ages.

Age	Power score for excellent rating
$18$	$224$
$25$	$210$
$35$	$168$
$45$	$125$
$55$	$98$

a. What is the average rate of change per year in excellence level from $25\text{years}$ to $35\text{years}$ old?

b. What power score would merit an excellent rating for a $27$-year-old man?

c. During which $10$-years from age $25$ to $55$ would you expect to see the greatest decrease in leg power?