Hurry Please). The function f (x) models the value of goods that are imported into the United states, where x is the number of years since 1990. The function g (x) models the value of goods that are exported from the United states. If f (x) and g (x) continue to model the importing and exporting of goods, then sometime in 2041, which is 51 years after 1990, f (x) = g (x). Determine which function is exponential. Use the table of values to justify your choice.

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MrRoyal MrRoyal · Answer 1 · 2022-05-17T14:00:45+02:00

The table represents two different functions, where function g(x) is the exponential function

For a function to be an exponential function, the following must be true about the function:

[tex]r = \frac{y_{n+1}}{y_n}[/tex]

Using the table of values (see attachment), we have:

Function f(x)

r = 12147367/11833485.4 ≈ 1.026525

r = 12464241.8/12147367 ≈ 1.026086

Function g(x)

r = 12112204/11412611 ≈ 1.0613

r = 12854683/12112204 ≈ 1.0613

Notice that the values of r in the function g(x) are the same

Hence, the exponential function is the function g(x)

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