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 tablet shows the power scores required of men for an excellent rating for selected ages. Age 18 25 35 45 55 Power score for excellent rating 224 210 168 125 98 (a) What is the average rate of change per year in excellence level from 18 years to 25 years old? -2 points per year (b) What power score would merit an excellent rating for a 20-year-old man? (Round your answer to the nearest whole number.) points
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 tablet shows the power scores required of men for an excellent rating for selected ages. Age 18 25 35 45 55 Power score for excellent rating 224 210 168 125 98 (a) What is the average rate of change per year in excellence level from 18 years to 25 years old? -2 points per year (b) What power score would merit an excellent rating for a 20-year-old man? (Round your answer to the nearest whole number.) points
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Transcribed Image Text: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 tablet shows the power scores required of men for an excellent rating for selected ages.
Age
18
25
35
45
55
Power score for
excellent rating
224
210
168
125
98
(a) What is the average rate of change per year in excellence level from 18 years to 25 years old?
-2
points per year
(b) What power score would merit an excellent rating for a 20-year-old man? (Round your answer to the nearest whole number.)
points
Expert Solution
Step 1
Using definition of derivative we can find the solution for(a) .
And using definition of line we can find (b).
Step by step
Solved in 2 steps with 1 images
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