Elias purchases a home for $38,900. The value of the home, in thousands of dollars, since his purchase is shown in the table. Find an exponential function that models the data. Round numerical values to the nearest hundredth. Let x be the number of years since the purchase. The function f(x) =()x models the data. Use the model to predict the home’s value. After 12 years, the home’s value will be about $thousand. After 35 years, the home’s value will be about $thousand.

The exponential function models the data would be f(x) = 39.59 (1.09). After 12 years, the home’s value will be about $111 thousand and After 35 years, it will be about $808 thousand.

What is a function?

A function is defined as a relation between the set of inputs having exactly one output each.

Elias purchases a home for $38,900.

Let x be the number of years since the purchase. The function f(x) =()x models the data.

f(x) = 39.59 (1.09)

by using the model to predict the home’s value.

After 12 years, the home’s value will be about $

111 thousand.

After 35 years, the home’s value will be about $

808 thousand.

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