5. The other day I stopped to get gas and observed the time it took to fill my tank. I then determined that the amount of gas in my tank could be modeled by the function A = f(t) = 0.162t + 3.9 where A is the amount of gas in my tank, in gallons, and t is the number of seconds since starting the gas pump. a. Explain the meaning of f-'(12.6) in the context of the problem. b. Determine a formula for the inverse function f-1. c. Evaluate f-1(12.6).

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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5. The other day I stopped to get gas and observed the time it took to fill my tank. I then determined that
the amount of gas in my tank could be modeled by the function A = ƒ (t) = 0.162t + 3.9 where A is
the amount of gas in my tank, in gallons, and t is the number of seconds since starting the gas pump,
a. Explain the meaning of f'(12.6) in the context of the problem.
%3D
b. Determine a formula for the inverse function f-1.
c. Evaluate f-1(12.6).
6. The table shows the total number of electric car sales between 2011 and 2019 (Source: afdc.energy.gov).
Years
Number of Electric
since 2010
Cars Sold in the U.S.
C
17,763
118,882
195,581
326,644
1
4.
7
9
a. To determine the BEST prediction of the number of electric cars that will be sold in 2022 based
on the given data, would you use the AROC from 2011 to 2019 or would you use the AROC
from 2017 to 2019? Explain why.
b. Determine the BEST prediction of the number of electric cars that will be sold in 2022.
Transcribed Image Text:5. The other day I stopped to get gas and observed the time it took to fill my tank. I then determined that the amount of gas in my tank could be modeled by the function A = ƒ (t) = 0.162t + 3.9 where A is the amount of gas in my tank, in gallons, and t is the number of seconds since starting the gas pump, a. Explain the meaning of f'(12.6) in the context of the problem. %3D b. Determine a formula for the inverse function f-1. c. Evaluate f-1(12.6). 6. The table shows the total number of electric car sales between 2011 and 2019 (Source: afdc.energy.gov). Years Number of Electric since 2010 Cars Sold in the U.S. C 17,763 118,882 195,581 326,644 1 4. 7 9 a. To determine the BEST prediction of the number of electric cars that will be sold in 2022 based on the given data, would you use the AROC from 2011 to 2019 or would you use the AROC from 2017 to 2019? Explain why. b. Determine the BEST prediction of the number of electric cars that will be sold in 2022.
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