the value, v, of kalanis stock investments over a time period, x, can be determined using the equation v =…

Explanation:

Step1: Rewrite the exponential - function form

The general form of an exponential function is $V = a(b)^x$. Given $V = 750(0.80)^{-x}$, we can rewrite it using the negative - exponent rule $a^{-n}=\frac{1}{a^{n}}$. So, $V = 750(\frac{1}{0.80})^{x}=750(1.25)^{x}$.

Step2: Identify the growth factor and rate

In the exponential growth formula $V = a(b)^x$, where $a$ is the initial value and $b$ is the growth factor. Here, $b = 1.25$. The growth rate $r$ is related to the growth factor $b$ by the formula $b=1 + r$. Solving for $r$, we get $r=b - 1$. Substituting $b = 1.25$ into the formula, we have $r=1.25−1 = 0.25$ or 25% increase.

Answer:

25% increase