High School

For an annual rate of change of [tex]-31\%[/tex], find the corresponding growth or decay factor.

A. 0.31
B. 0.69
C. 1.31
D. 1.69

Answer :

To solve the problem, we start by converting the percentage rate to a decimal. Given a rate of change of [tex]$-31\%$[/tex], we have:

[tex]$$
-31\% = -0.31.
$$[/tex]

Next, the growth or decay factor for one time period is calculated by adding [tex]$1$[/tex] to the rate in decimal form:

[tex]$$
\text{Growth/decay factor} = 1 + (-0.31) = 1 - 0.31 = 0.69.
$$[/tex]

Thus, the corresponding growth or decay factor is [tex]$\boxed{0.69}$[/tex].