Concept explainers
(a)
To calculate: The cost per mile to rent a car for a given day if
(b)
To calculate: The cost per mile to rent a car for a given day if
(c)
To calculate: The cost per mile to rent a car for a given day if
(d)
To calculate: The number of miles driven if the cost per mile is
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COLLEGE ALGEBRA (LL)18 WK ALEKS 360
- 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_forwardThe figure shows the graphs of the cost and revenue functions for a company that manufactures and sells small radios. Use the information in the figure to solve Exercises 67–72. 35,000 30,000 C(x) = 10,000 + 30x 25,000 20,000 15,000 R(x) = 50x 10,000 5000 100 200 300 400 500 600 700 Radios Produced and Sold 67. How many radios must be produced and sold for the company to break even? 68. More than how many radios must be produced and sold for the company to have a profit? 69. Use the formulas shown in the voice balloons to find R(200) – C(200). Describe what this means for the company. 70. Use the formulas shown in the voice balloons to find R(300) – C(300). Describe what this means for the company. 71. a. Use the formulas shown in the voice balloons to write the company's profit function, P, from producing and selling x radios. b. Find the company's profit if 10,000 radios are produced and sold. 72. a. Use the formulas shown in the voice balloons to write the company's profit function,…arrow_forwardIn Exercises 7–12, describe the relationship between the two quantities.arrow_forward
- For Exercises 33–38, find the exact value of each expression without the use of a calculator. (See Example 5)arrow_forwardIn Exercises 1–6, solve for x.arrow_forwardInsurance Rates The following table gives themonthly insurance rates for a $100,000 life insurancepolicy for smokers 35–50 years of age.a. Create a scatter plot for the data.b. Does it appear that a quadratic function can beused to model the data? If so, find the best-fittingquadratic model.c. Find the power model that is the best fit for the data.d. Compare the two models by graphing each modelon the same axes with the data points. Whichmodel appears to be the better fit?arrow_forward
- The average amount A (in pounds per person) of fish and shellfish consumed in the UnitedStates during the period 1992–2001 can be modeled by A = (3.2x + 260)/(52x + 3800) where x is the number of years since 1992.Rewrite the model so that it has only whole number coefficients. Then simplify the model.arrow_forwardIn Exercises 61–64, find an equation for the level surface of the function through the given point.arrow_forwardFind the remaining trig functions?arrow_forward
- 1–10, translate each statement of variation into an equation, and use k as the constant of variation. 7. The surface area (S) of a cube varies directly as the square of the length of an edge (e). Kaufmann, Jerome E.; Schwitters, Karen L.. Intermediate Algebra (p. 487). Cengage Learning. Kindle Edition.arrow_forwardA $25,000 machine depreciates linearly to 0 over a 10 year period. What is the valye of the machine after 5 years? Select one: O 7500 O 17500 12500 10000 15000arrow_forwardanswer part e and farrow_forward
- Algebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal LittellAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage