Question

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

Exponential models
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asked 2021-05-09

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? Remember the general form of an exponential function: \(f(x)=a*b^x\). Given your table and situation, determine values for a and b. Write the appropriate exponential function.

Answers (1)

2021-05-10
a is the initial value of the computer so a=1500
b is the common ratio so
b=0.8
The exponential function is: \(\displaystyle{f{{\left({x}\right)}}}={1500}\cdot{\left({0.8}\right)}^{{x}}\)
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