Question

Over the last 40 years, the population of a city has increased by roughly 2% each year. If the population was 220,000 at the beginning of this period Test Image, what was the population 10 years later?

Answer 1

To find the population 10 years later, use the formula New population = Initial population * (1 + growth rate)^number of years

Step-by-step explanation:

To find the population 10 years later, we need to calculate the growth each year and add it to the initial population.

Given that the population increases by 2% each year, we can use the formula:

New population = Initial population * (1 + growth rate)^number of years

For this question, the initial population is 220,000 and the number of years is 10. Plugging in these values, we get:
New population = 220,000 * (1 + 0.02)^10

Simplifying this, we find that the population 10 years later is approximately 291,014.

Answer 2

The '40 years' is not part of the question. It's just there to prove that
'2% each year' has been the experience for the past 40 years, so it's
a good number to use for the rate of growth, past or future.

So, at any number of years 'Q' after the beginning of "this period",
the population was or will be

Pop = (220,000) (1.02)^Q power.

(This equation is familiar from all of the bank-interest problems
the student has done in past math classes.)

In 10 years after the beginning of "this period",

Pop = (220,000) (1.02)¹⁰ = 243,800 (or any reasonably close number)