See image. Can you please keep steps labeled (like a. b. c.? Thank you so much!! 5. The other day I stopped to get gas and observed the time it took to fill my tank. I then determined thatthe amount of gas in my tank could be modeled by the function A = ƒ (t) = 0.162t + 3.9 where A isthe 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.%3Db. 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).YearsNumber of Electricsince 2010Cars Sold in the U.S.C17,763118,882195,581326,64414.79a. To determine the BEST prediction of the number of electric cars that will be sold in 2022 basedon the given data, would you use the AROC from 2011 to 2019 or would you use the AROCfrom 2017 to 2019? Explain why.b. Determine the BEST prediction of the number of electric cars that will be sold in 2022.

Answered: Image /qna-images/answer/10ca72a8-3291-4e62-8960-3846edcc8d4e.jpg

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).

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

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

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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Question

See image. Can you please keep steps labeled (like a. b. c.? Thank you so much!!

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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