Question

The expression 10,000(0.90)^t represents the population of a town t years after 2000. Select the value from each drop down menu that best completes the sentence. The population of the town____ by___ each year.

choices:
increase/decrease
1%, 10%, 90%, 9% or 10K%

Answer 1

The town's population decreases by 10% each year as indicated by the expression showing exponential decay.

Step-by-step explanation:

The population of the town decreases by 10% each year. The expression 10,000(0.90)^t shows that the population is multiplied by 0.90 (or 90%) each year, which means that it retains 90% of the previous year's population, therefore losing 10% annually. This type of change is known as exponential decay.

Answer 2

decrease by 10％ each year