Concept explainers
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.
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a. What is the average rate of change per year in excellence level from
b. What power score would merit an excellent rating for a
c. During which
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Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
- Running Speed A man is running around a circular track that is 200 m in circumference. An observer uses a stopwatch to record the runners time at the end of each lap, obtaining the data in the following table. aWhat was the mans average speed rate between 68 s and 152 s? bWhat was the mans average speed between 263 s and 412 s? cCalculate the mans speed for each lap. Is he slowing down, speeding up or neither? Time s Distance m 32 200 68 400 108 600 152 800 203 1000 263 1200 335 1400 412 1600arrow_forwardThe Decibel scale Exercise S-7 through S-10 refer to the decibel scale. If one sound has a relative intensity one-tenth that of another, how do their decibel levels compare?arrow_forwardRichter Scale Exercise S-1 through S-6 use elementary properties of Richter Scale. One earthquake measures 5.5 on the Richter scale, and another reads 4.5. How do the two quakes compare?arrow_forward
- Round all answers to two decimal places unless otherwise indicated. Note Some of the formulas below use the special number e, which was presented in the Prologue. 13. Radioactive Substances change form over time. For example, carbon 14, which is important for radiocarbon dating, changes through radiation into nitrogen. If we start with 5 grams of carbon 14, then the amount C=C(t) of carbon 14 remaining after t years is given by C=50.5t/5730 a. Express the amount of carbon 14 left after 800 years in functional notation, and then calculate its value. b. How long will it take before half of the carbon 14 is gone? Explain how you got your answer. Hint: You might use trial and error to solve this, or you might solve it by looking carefully at the exponent..arrow_forwardRound all answers to two decimal places unless otherwise indicated. 24. Timber Stumpage Price The following table shows timber stumpage prices for pine pulpwood in two regions of the American South. Prices are in dollars per ton and were recorded at the start of the indicated year. Year Southeast Mid-Atlantic 2002 6.50 4.00 2005 7.50 6.70 2007 7.00 10.00 a. For the Mid-Atlantic, what is the average rate of change per year in price from 2002 to 2005? b. Use your answers to part a to estimate the price in the Mid-Atlantic region at the start of 2004. The actual price was 6.40 per ton. c. For the southeast, what is the average rate of change per year in price form 2005 to 2007? d. Use your answer to part c to estimate the price in the Southeast at the start of 2008. e. For each region, find the percentage increase in price from 2002 to 2007. f. On the basis of your answer to part e, in the absence of other factors, would an investor in timber be better advised to choose the Southeast or the Mid-Atlantic?arrow_forwardRichter Scale Exercise S-1 through S-6 use elementary properties of Richter Scale. One earthquake has a Richter scale reading of 5.4. Another is one-thousandth as strong. What is its Richter scale reading?arrow_forward
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