choose the proper rationale. “in the compound interest equation, time (the variable t) has the biggest…

Brief Explanations:

The compound - interest formula is $A = P(1+\frac{r}{n})^{nt}$, where $A$ is the amount of money accumulated after $n$ years, including interest, $P$ is the principal amount (the initial amount of money), $r$ is the annual interest rate (in decimal), $n$ is the number of times that interest is compounded per year, and $t$ is the time the money is invested for in years. The time $t$ is in the exponent. As the exponent in an exponential - growth formula, changes in $t$ have a more significant impact on the final amount $A$ compared to the other variables which are factors. For example, if $t$ increases, the value of $(1 +\frac{r}{n})^{nt}$ grows exponentially.

Answer:

c. Time is an exponent while the other units are factors.