A computer valued at $1500 loses 20% of its value each year. a. Write a function rule that models the value of the computer. b. Find the value of the computer after 3 yr. c. In how many years will the value of the computer be less than $500? Set your exponential function equal to $500 and solve or extend your table to determine the answer to part c.

A computer valued at $1500 loses 20% of its value each year. a. Write a function rule that models the value of the computer. b. Find the value of the computer after 3 yr. c. In how many years will the value of the computer be less than $500? Set your exponential function equal to $500 and solve or extend your table to determine the answer to part c.

Question
Exponential models
asked 2021-02-06
A computer valued at $1500 loses 20% of its value each year. a. Write a function rule that models the value of the computer. b. Find the value of the computer after 3 yr. c. In how many years will the value of the computer be less than $500? Set your exponential function equal to $500 and solve or extend your table to determine the answer to part c.

Answers (1)

2021-02-07

By extending the table
\(\begin{array}{|c|c|} \hline \text { Years Since Purchase } & \text { Value of Computer }\\ \hline \text{ 0 } & $1500 \\ \hline \text{ 1 } & $1200\\ \hline \text{ 2 } & $960\\ \hline \text{ 3 } & $768\\ \hline \text{ 4 } & $614.4\\ \hline \text{ 5 } & $491.52\\ \hline \end{array}\)
The value of the computer is less than $500 after 5 years.

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