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Reminder Round all answers to two decimal places unless otherwise indicated.
Note Some of the formulas below use the special number
12. A Car That Gets 32 Miles per Gallon The cost C of operating a certain car that gets 32 miles per gallon is a function of the price g, in dollars per gallon, of gasoline and the distance d, in miles, that you drive. The formula for
a. Use functional notation to express the cost of operation if gasoline costs 98 cents per gallon and you drive 230 miles. Calculate the cost.
b. Calculate
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Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
- Nuclear Energy Nuclear energy derived from radioactive isotopes can be used to supply power to supply power to space vehicles. The output of the radioactive power supply for a certain satellite is given by the function y=40e0.004t, where y is in watts and t time in days. How much power will be available at the end of 180 days? How much will take for the amount of power to be half of its original strength? Will the power ever be completely gone? Explain.arrow_forwardLIFE SCIENCE APPLICATIONS Pollution Pollution begins to enter a lake at time t=0 at a rate in gallons per hour given by the formula f(t)=10(1e0.5t), where t is the time in hours. At the same time, a pollution filter begins to remove the pollution at a rate g(t)=0.4t as long as pollution remains in the lake. a. How much pollution is in the lake after 12 hours? b. Use a graphing calculator to find the time when the rate that pollution enters the lake equals the rate the pollution is removed. c. Find the amount of pollution in the lake at the time found in part b. d. Use a graphing calculator to find the time when all the pollution has been removed from the lake.arrow_forwardMedical Drugs When a certain medical drug is administered to a patient, the number of milligrams remaining in the patients bloodstream after t hours is modeled by D(t)=50e0.2t How many milligrams of the drug remain in the patients bloodstream after 3 hours?arrow_forward
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