biologists are tracking the growth of a deer population. there were 45 deer initially and the population is…

biologists are tracking the growth of a deer population. there were 45 deer initially and the population is doubling every year. which of the following equations can be used to find when the population of deer will be equal to 672? a 672 = 90^x b 672 = 45(2)^x c 672 = 45+(2)^x d 672 = 2(45)^x
Answer
Explanation:
Step1: Identify the exponential - growth formula
The general formula for exponential growth 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: Determine the values of $a$ and $b$
The initial number of deer $a = 45$, and since the population is doubling every year, the growth factor $b = 2$. The population $y$ after $x$ years is given by $y=45(2)^x$. We want to find when $y = 672$, so the equation is $672 = 45(2)^x$.
Answer:
B. $672 = 45(2)^x$