Concept explainers
Use the four-step procedure for solving variation problems given on page 445 to solve Exercises 21–36.
31. Body-mass index, or BMI, takes both weight and height into account when assessing whether an individual is underweight or overweight. BMI varies directly as one’s weight, in pounds, and inversely as the square of one’s height, in inches. In adults, normal values for the BMI are between 20 and 25, inclusive. Values below 20 indicate that an individual is underweight and values above 30 indicate that an individual is obese. A person who weighs 180 pounds and is 5 feet, or 60 inches, tall has a BMI of 35.15. What is the BMI, to the nearest tenth, for a 170-pound person who is 5 feet 10 inches tall? Is this person overweight?
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Chapter 3 Solutions
COLLEGE ALGEBRA ESSENTIALS
- Solve the variation problems in Exercises 68–73. 68. A company's profit varies directly as the number of products it sells. The company makes a profit of $1175 on the sale of 25 products. What is the company's profit when it sells 105 products? 69. The distance that a body falls from rest varies directly as the square of the time of the fall. If skydivers fall 144 feet in 3 seconds, how far will they fall in 10 seconds? 70. The pitch of a musical tone varies inversely as its wavelength. A tone has a pitch of 660 vibrations per second and a wavelength of 1.6 feet. What is the pitch of a tone that has a wavelength of 2.4 feet? 71. The loudness of a stereo speaker, measured in decibels, varies inversely as the square of your distance from the speaker. When you are 8 feet from the speaker, the loudness is 28 decibels. What is the loudness when you are 4 feet from the speaker? 72. The time required to assemble computers varies directly as the number of computers assembled and inversely as…arrow_forward(3.7) #2arrow_forwardIs all variation necessarily numerical?arrow_forward
- In Exercises 1–6, solve for x.arrow_forwardIn Exercises 69–70, traffic speed S along a certain road (in kilometers per hour) varies as a function of traffic density q (number of cars per kilometer of road). Use the following data to answer the questions: q (density) 60 S (speed) 90 100 70 80 72.5 67.5 63.5 60 56 69. Estimate S'(80).arrow_forwardthe length of time taken to run 100m a continous data?arrow_forward
- Comment on the coefficient of CPI in the model calculated WHERE B0=0.47111 and B1= -0.05304arrow_forwardThe value of (8.1)/ .arrow_forwardBody mass index (BMI) is a measure of body composition, which can be used to assess if someone is underweight, healthy weight, overweight but not obese, or obese. It is calculated as a person’s weight (measured in Kilograms) divided by his/her height (measured in meters) squared. We recorded 5 students’ BMI values and the numbers of hours they exercised in the past week, as following: BMI 18.4 19.6 20.5 27.6 30.6 Hours of exercise 3.0 2.5 4.0 2.7 0.5 What is the value of r?arrow_forward
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