Question

given the following function $g(x)$, what is the percent increase or decrease from $g(x)$ to $g(x + 1)$? enter none if the change is not uniform.
$g(x) = 240(1.21)^x$
%
does the percent change in the function represent an increase or decrease in values?
○ increase
○ decrease
○ the percent change is not uniform.
○ there is not enough information given to make a conclusion.

Explanation:

Step1: Compute g(x+1)

$g(x+1)=240(1.21)^{x+1}=240(1.21)^x \times 1.21$

Step2: Find ratio to g(x)

$\frac{g(x+1)}{g(x)}=\frac{240(1.21)^x \times 1.21}{240(1.21)^x}=1.21$

Step3: Calculate percent change

$\text{Percent change} = (1.21 - 1) \times 100\% = 21\%$

Answer:

21
A. Increase