Given that 5 years is given for doubled population and 30 years is the target

so 30/5 = 6

that means you have to increase the (double population) by 6

so the problem says "population doubles after 5 years..."

so you have to multiply by 2 every 5 years but there is a shortcut

you divide the target year by 5 years so 30/5 is 6 so now u just have to

put the "population doubles" in standard form so it is 2

and increase the 2 with 6 since it is the quotient of the target year over the 5 years that population will double

now you have 2^6 =64

64*2500= 131200 will be the population in 30 years

ANSWER:

The projected population would be 160,000 people.

SOLUTION:

- The population doubles ONLY every 5 years, so we must divide the values.

30 (total number of years) ÷ 5 = 6 (the population would double 6 times)

- Since the population would double 6 times, we must multiply these values together.

2⁶ = 64

- Lastly, we must multiply the total population and the prior product.

64 × 2500 (total population) = 160000