Consider the exponential function

g(x)=190,000•1.03x, which models the value of Evie’s house, where x represents the number of years since she purchased the house.

What is the rate of growth/decay?


a 3%
b 30%
c 103%
d 13%

Respuesta :

Answer:

a 3% (growth)

Step-by-step explanation:

-An exponential growth/decay function takes the form;

[tex]B=A(1+i)^x[/tex]

Where:

[tex]i[/tex] is the rate of growth/decay

[tex]A[/tex] is the initial quantity

[tex]B[/tex] is the final quantity

[tex]x[/tex] is time

Given the function [tex]g(x)=190,000\times1.03^x[/tex]

g(x) -is the amount at time x

190,000- the initial amount/quantity

1.03=(1+i)

i=1.03-1

i=0.03=3%

Hence, the rate of growth is 3%