13. After a recent Arlington High School basketball game, traffic was exiting the parking lot at a constant rateof 28 cars per minute. The parking lot started with 922 cars.(a) How many cars are still in the parking lot after10 minutes?(b) Determine a formula for the number of cars, n.in the parking lot after m-minutes.(c) After 25 minutes, the rate at which the cars leave rises to 34 cars per minute. How many total minutesdoes it take for the parking lot to completely clear? Round to the nearest minute. Show your analysis.14. A single pump is filling a storage container with water at a rate of 60 gallons per minute. After 30 minutes,an additional pump turns on and the container begins to fill at a total rate of 130 gallons per minute for anadditional 30 minutes. The container already had 1,500 gallons of water when it began to be filled.(a) On the grid below, graph the amount of waterthe tank contains for the first 60 minutes.(b) Write a piecewise defined function for thevolume, V, as a function of time, t, measured inminutes.700060005000400030002000100010 20 30 4050 60Time (min)Volume (gal) 15. Determine a piecewise equation for the function shown graphed below.7)+216. For the piecewise function g(x)={ 3r<1C-ヴ,-4answer the following questions. Explain your thinking4x-2 x21and show your work.(a) What is the y-intercept of this function?(b) Determine the x-intercept(s) of this function.(c) Which has the greater average rate of change over the interval -12 Sxs8, the function g(x) or thefunction f (x)= 2x+7(d) Provide evidence that this function is not one-to-one. Explain how your evidence supports that g(x) isnot one-to-one.

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13. After a recent Arlington High School basketball game, traffic was exiting the parking lot at a constant rate of 28 cars per minute. The parking lot started with 922 cars. (a) How many cars are still in the parking lot after 10 minutes? (b) Determine a formula for the number of cars, n. in the parking lot after m-minutes. (c) After 25 minutes, the rate at which the cars leave rises to 34 cars per minute. How many total minutes does it take for the parking lot to completely clear? Round to the nearest minute. Show your analysis.

13. After a recent Arlington High School basketball game, traffic was exiting the parking lot at a constant rate of 28 cars per minute. The parking lot started with 922 cars. (a) How many cars are still in the parking lot after 10 minutes? (b) Determine a formula for the number of cars, n. in the parking lot after m-minutes. (c) After 25 minutes, the rate at which the cars leave rises to 34 cars per minute. How many total minutes does it take for the parking lot to completely clear? Round to the nearest minute. Show your analysis.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.2: Arithmetic Sequences

Problem 67E

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