Question

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.

Answer 1

Answer: f(x)= 39.59(1.09)

after 12 years = $111 thousand

after 35 years = $808 thousand

Step-by-step explanation:

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Answer 2

The exponential function that models the data shows that after 12 years, the value of the home is 111 thousand and after 35 years, it is 808 thousand.

What is an exponential function?

An exponential function is a function that usually takes the form f(x) = bˣ.

where;

• b = base
• ˣ = power

The general exponential function that models  the data given is:

• f(x) = 39.59(1.09)ˣ

So, where ever we see (x) we are going to replace it with 12, then the  35.

For after 12 years, the model of the data can be represented as:

• f(12) = 111 thousands
• f(35) = 808 thousands

Learn more about an exponential function here:

https://brainly.com/question/12940982

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