The data in the table below represent annual revenue of Tesla, Inc. from 2010 to 2021.

(a) Using a graphing utility, draw a scatter plot of the data using 0 for 2010, 1 for 2011, and so on, as the independent variable.

(b) Using a graphing utility, build an exponential model from the data.

(c) Express the function found in part (b) in the form A (t) = A₀e^kt.

(d) Graph the exponential function found in part (b) or (c) on the scatter plot.

(e) Use the exponential function from part (b) or (c) to predict Tesla’s revenue in 2022.

(f) Interpret the meaning of k in the function found in part (c).

Transcribed Image Text:

Year 2010 (x = 0) 2011 (x = 1) 2012 (x = 2) 2013 (x = 3) 2014 (x = 4) 2015 (x = 5) 2016 (X 6) 2017 (x = 7) 2018 (x = 8) 2019 (x = 9) 2020 (x = 10) 2021 (x = 11) Revenue ($ Billion) 0.12 0.20 0.41 2.01 3.20 4.05 7.00 11.76 21.46 24.58 31.54 53.82