Question

fill in the blank 1 point
a city has a population of 7000.
its population is increasing at a rate of 2.8%.
this scenario can be represented by which of the following exponential functions?
f(x) = choose your answer...
choose your answer...
7000(1 + 0.028)
7000(1 - 0.0175)
7000(1.014)
7000(0.9875)
7000(0.969)
7000(1.012)
6 fill in the
a city h
its pop
of 1.25%.
this sct
by which of the following exponential functions?

Explanation:

Step1: Recall exponential growth formula

The general form of an exponential growth function is $f(x) = P(1 + r)^x$, where $P$ is the initial population, $r$ is the growth rate in decimal form, and $x$ is time.

Step2: Convert percentage to decimal

Convert 2.8% to decimal: $r = \frac{2.8}{100} = 0.028$

Step3: Substitute values into formula

Substitute $P=7000$ and $r=0.028$: $f(x) = 7000(1 + 0.028)^x$ (the $x$ is implied in the context of exponential population growth for the given option)

Answer:

$7000(1 + 0.028)$ (with the understanding that this is the base form of the exponential growth function for the population, with $x$ representing the time variable)