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Vanyuwa [196]
3 years ago
14

The value of a family's home, in Camrose AB, is given by the following exponential function f(x), where x is the number of years

after the family purchases the house for $130,000. What is the best estimate for the instantaneous rate of change in the value of the home when the family has owned it for 5 years?
f(x) =130000(1.06)^x
Mathematics
1 answer:
lakkis [162]3 years ago
5 0

Answer:

<h2>$173,969</h2>

Step-by-step explanation:

Given the value of a family's home, in Camrose AB, given by the following exponential function f(x) = 130000(1.06)^x, where x is the number of years after the family purchases the house for $130,000. In order to calculate the best estimate for the instantaneous rate of change in the value of the home when the family has owned it for 5 years, we will have to substitute x =5 in the given function and solve as shown;

f(x) = 130000(1.06)ˣ

f(5) = 130000(1.06)⁵

f(5) = 130000*(1.06)⁵

f(5) = 130000*1.338226

f(5) = 173,969.38

Hence, the instantaneous rate of change in the value of the home when the family has owned it for 5 years is approximately  $173,969

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