Question
Question 8
A town has a population of 50,200 and grows at a rate of
Which equation represents the town’s population after 2 years?
Answer Results
Subst Question
Shit Answer
A town has a population of 50,200 and grows at a rate of
Which equation represents the town’s population after 2 years?
Answer Results
Subst Question
Shit Answer
Ask by Weston Estrada. in the United States
Mar 21,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The equation representing the town’s population after 2 years is
Solution
-
The formula for exponential growth iswhere
is the initial population, is the growth rate, and is the number of years. -
Here,
, (which represents ), and . -
Substituting these values into the formula gives
-
Therefore, the equation that represents the town’s population after 2 years is
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Simplify this solution Bonus Knowledge
The correct way to model compound growth, like the town’s population increase, revolves around the formula for exponential growth, which is super simple to remember. If the population is
As for a common mistake, remember not to confuse addition with multiplication regarding growth! Many might mistakenly think that adding the growth rate repeatedly is the same as compounding, but that’s not the case! The exponential growth model shows that year-over-year growth compounds, leading to a much larger increase than just simple addition would suggest. Stay sharp!
