Concept explainers
Reminder Round all answers to two decimal places unless otherwise indicated.
Note Some of the formulas below use the special number
There is a formula that estimates how much your puppy will weigh when it reaches adulthood. The method we present applies to medium-sized breeds. First, find your puppy's weight w, in pounds, at an age of a weeks, where a is 16 weeks or less. Then the predicted adult weight
a. Use functional notation to express the adult weight of a puppy that weighs 6 pounds at 14 weeks.
b. Calculate the predicted adult weight for the puppy from part a.
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Chapter 1 Solutions
FUNCTIONS AND CHANGE COMBO
- Running Speed A man is running around a circular track that is 200 m in circumference. An observer uses a stopwatch to record the runner’s time at the each of each lap, obtaining the data in the following table. (a) What was the man’s average speed (rate) between 68 s and 152 s? (b) What was the man’s average speed between 263 s and 412 s? (c) Calculate the man’s speed for cadi lap, Is he slowing down, speeding up, or neither?arrow_forwardRunning 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_forwardEstimate the age of a newly discovered fossil for which the ratio of carbon-14 to carbon-12 is R=1/1014.arrow_forward
- Mortgage Rates The following table is taken from the website of Freddie Mac. It shows rates for 30-year fixed-rate mortgages since 1970. y=Year r=Mortgagerate 1975 9.05 1980 13.74 1985 12.43 1990 10.13 1995 7.93 2000 8.05 2005 5.87 2010 4.69 2015 3.84 a. Explain in practical terms the meaning of r(2003). b. Use the table to estimate the value of r(2003).arrow_forwardDecibel Scale The drilling of a jackhammer was measured at 132 dB. The sound of whispering was measured at 28 dB. Find the ratio of the intensity of the drilling to that of the whispering.arrow_forwardHarris-Benedict Formula Your basal metabolic rate is the amount of energy in calories your body needs to function at rest. The Harris-Benedict formula is used to estimate the basal metabolic rate. There is one formula for adult males and another for adult females. In these formulas, w is your body weight in pounds, h is your height in inches, a is your age in years, M=M(w,h,a) is the basal metabolic rate for adult males, and F=(w,h,a) is the basal metabolic rate for adult females: M=66+6.3w+12.7h6.8aF=655+4.3w+4.7h4.7a Use functional notation to express your own basal metabolic rate, and then calculate its value.arrow_forward
- Stock Turnover at Retail In retail sales, an important marker of retail activity is the stock turnover at retail. This figure is calculated for a specific period of time as the total net sales divided by the retail value of the average stock during that time, where both are measured in dollars. As a formula, this is written Stockturnover=NetsalesAveragestockatretail. This formula expresses stock turnover as a function of net sales and average stock at retail. a. Suppose that your store had net sales of 682, 000 in mens shoes over the past six months and that the retail value of the average stock of mens shoes was 163, 000. What was the stock turnover at retail for that time period? b. Suppose that in a certain month, your stores net sales of womens dresses were 83, 000 and that the usual stock turnover at retail is 0.8 per month. What do you estimate to be your stores average stock at retail? c. Solve the equation for average stock at retail- that is, write a formula giving average stock at retail as a function of stock turnover and net sales. d. Suppose that in a certain time period, your store had an average stock of socks with a retail value of 45, 000 and a stock turnover at retail of 1.6. What were the stores net sales of socks during that time period? e. Solve the equation for net sales- that is, write a formula giving net sales as a function of stock turnover and average stock at retail.arrow_forwardPopulation Growth and Decline The table gives the population in a small coastal community for the period 1997-2006. Figures shown arc for January 1 in each year. (a) What was the average rate of change of population between 1998 and 2001? (b) What was the average rate of change of population between 2002 and 2004? (C) For what period of lime was the population increasing? (d) For what period of time was the population decreasing?arrow_forwardUse a calculator to help solve each problem. Oceanography At one location in the Atlantic Ocean, I0=14 lumens and k=0.7. Find the intensity of light at a depth of 12 meters. See Exercise 11.arrow_forward
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