biologists are tracking the growth of a rabbit population. there were 45 rabbits initially and the…

biologists are tracking the growth of a rabbit population. there were 45 rabbits initially and the population is quadrupling every year. which of the following equations can be used to find when the population of rabbits will be equal to 720? a 720 = 180^x b 720 = 45(4)^x c 720 = 45 + 4^x d 720 = 4(45)^x

biologists are tracking the growth of a rabbit population. there were 45 rabbits initially and the population is quadrupling every year. which of the following equations can be used to find when the population of rabbits will be equal to 720? a 720 = 180^x b 720 = 45(4)^x c 720 = 45 + 4^x d 720 = 4(45)^x

Answer

Explanation:

Step1: Recall exponential - growth formula

The general form of an exponential - growth formula is $y = a(b)^x$, where $a$ is the initial amount, $b$ is the growth factor, and $x$ is the number of time - periods.

Step2: Identify values for the rabbit population problem

The initial number of rabbits $a = 45$, the growth factor $b = 4$ (since the population is quadrupling), and $y$ is the population at time $x$. We want to find $x$ when $y = 720$. Substituting these values into the formula $y=a(b)^x$, we get $720 = 45(4)^x$.

Answer:

B. $720 = 45(4)^x$