Concept explainers
(a)
To calculate: The quantity of medicine would be prescribed when the amount of pain reliever that a physician prescribes for a child varies directly as the weight of the child. The physician prescribes
(b)
To calculate: The quantity of medicine would be prescribed when the amount of pain reliever that a physician prescribes for a child varies directly as the weight of the child. The physician prescribes
(c)
To calculate: The quantity of medicine would be prescribed when the amount of pain reliever that a physician prescribes for a child varies directly as the weight of the child. The physician prescribes
(d)
To calculate: The weight of the child when the amount of pain reliever that a physician prescribes for a child varies directly as the weight of the child. Also, the physician prescribes
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College Algebra Essentials
- Use this information to solve Exercises 9–11:A company is planning to produce and sell a new line of computers. The fixed cost will be $360,000 and it will cost $850 to produce each computer. Each computer will be sold for $1150. 9. Write the cost function, C, of producing x computers. 10. Write the revenue function, R, from the sale of x computers. 11. Determine the break-even point. Describe what this means.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_forwardAmerica is getting older. The graph shows the projected elderly U.S. population for ages 65–84 and for ages 85 and older.The formula E = 5.8√x + 56.4 models the projected number of elderly Americans ages 65–84, E, in millions, x years after 2020.a. Use the formula to find the projected increase in the number of Americans ages 65–84, in millions, from 2030 to 2060. Express this difference in simplified radicalform.b. Use a calculator and write your answer in part (a) to the nearest tenth. Does this rounded decimal overestimate or underestimate the difference in the projected data shown by the bar graph ? By how much?arrow_forward
- In Exercises 1–6, solve for x.arrow_forward1–10, 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_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
- U.S. Population The number of White non-Hispanicindividuals in the U.S. civilian non-institutional population 16 years and older was 153.1 million in 2000and is projected to be 169.4 million in 2050.(Source: U.S. Census Bureau)a. Find the average annual rate of change in population during the period 2000–2050, with the appropriate units.b. Use the slope from part (a) and the population in2000 to write the equation of the line associatedwith 2000 and 2050.c. What does this model project the population to bein 2020?arrow_forwardFind the remaining trig functions?arrow_forwardbrett expects that each guest 0.2 of a sandwich. sketch a model to show how many sandwiches brett expects the guests to eat in all.arrow_forward
- For Exercises 23–32, solve the equation. a. Write the solution set for the general solution. b. Write the solution set on the interval [0, 2x). (See Examples 2–4) 26. sec (-2x) = -V2 %3Darrow_forwardState which tank is losing water at the greatest rate. Justify your answer mathematically.arrow_forwardActivity 3: Your car's gas tank holds 18.6 gallons and is one quarter full. Your car gets 16 miles/gal. You see a sign saying, "Next gas 73 miles." Your often-wrong brother, who is driving, is sure you'll make it without running out of gas. You're not so sure and do some quick figuring 18.6 gal 1 tank 4 quarter tank 1 gal 1 tank 16 miles 74.4 miles quarter tank "Ah! I knew I was right," declares your brother on glancing at your calculator, "your calculations prove it!" Is this a good time to be assertive and demand that he turn around to get gas, or do you conclude that your brother is right for once?arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage