Use a graphing calculator to determine the exponential regression equation to model the relationship between the decades since 1950 and the population

emancipezN

emancipezN

Answered question

2021-07-30

Use a graphing calculator to determine the exponential regression equation to model the relationship between the decades since 1950 and the population. a. The calculator returns two values, a and b. Write these values below. Round a to the nearest whole number and b to the nearest thousandth, if necessary. a=?,b=?. b. The general form of an exponential function is y=abx. b. The general form of an exponential function is y=abx. Use this general form and the values of a and b from Part (a) to write an exponential function that models Nevada's population growth. c. Use a graphing calculator to graph the data points and the function from Part (b). Sketch the graph and the data points below. Is the exponential function a good approximation of the data? Explain.

Answer & Explanation

toroztatG

toroztatG

Skilled2021-07-31Added 98 answers

Step 1
a. Values of a and b
a=182,753andb=1.612
b. Function
The exponential function that represents the population growth of Nevada
f(x)=182,753(1.612)x
Step 2
c. Graph of the data
blue - graph of the function
orange - graph of the data points
The exponential function is a good approximation of the data as shown on the graph since the graph of the function is closer to the graph of the data points.

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