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 town's population 5 years from now?

The expression that represents the town's population after 5 years.

Step-by-step explanation:

Given:

Current population of Springfield, USA = 9,900

Rate of growth per year = 2.3%

To find the expression that represents the town's population after 5 years.

Solution:

The exponential growth expression is given as:

where :

represents the final population after years

represents the initial population

represents the rate of growth in percent

Plugging in  the known values.

Simplifying.

Thus, the above expression represents the population after 5 years.

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2