Question

the town of springfield, usa has a population of 9900 people. the population is growing at a rate of 2.3% each year. which expression gives the towns population 5 years from now? choose 1 answer: a ( 9900 + 0.023^5 ) b ( 9900 + (1 + 0.023)^5 ) c ( 9900 cdot 0.023^5 ) d ( 9900(1 + 0.023)^5 )

Explanation:

Step1: Identify growth formula

This is exponential growth, use $P = P_0(1+r)^t$, where $P_0$ = initial population, $r$ = growth rate, $t$ = time.

Step2: Plug in given values

$P_0=9900$, $r=0.023$, $t=5$. Substitute: $P = 9900(1+0.023)^5$

Step3: Match to options

The expression matches option D.

Answer:

D. $9900(1 + 0.023)^5$