Question

The town of Springfield, USA has a population of 990099009900 people. The population is growing at a rate of 2.3\%2.3%2, point, 3, percent each year.
Which expression gives the town's population 555 years from now?
Choose 1 answer:

Answer 1

Answer:

The expression is

$y=9,900(1.023)^5$

$11,092\ people$

Step-by-step explanation:

we know that

The equation of a exponential growth function is equal to

$y=a(1+r)^x$

where

y is the population

x is the number of years

r is the rate of change

a is the initial value or y-intercept

we have

$a=9,900\\r=2.3\%=2.3/100=0.023$

substitute the given values

$y=9,900(1+0.023)^x$

$y=9,900(1.023)^x$

For x=5 years

substitute in the exponential equation

$y=9,900(1.023)^5$

$y=11,092\ people$