Question

Compared to last year the population of Bloomtown has increased by 10% of the population is now 7568 what what is the population last year round to the nearest whole number

Answer 1

Answer:

The population last year was = 6880

Step-by-step explanation:

The population growth formula is given by:

$P_n=P_o(1+r)^t$

where $P_n$ represents population after $t$ years, $P_o$ represents the initial population and $r$ represents the growth rate in decimals.

Given :

$P_n=7568$

$r=10\%=0.10$

$t=1\ year$

Thus, we have.

$7568=P_o(1+0.1)^1$

Solving for $P_o$

$7568=P_o(1.1)^1$

$7568=P_o(1.1)$

Dividing both sides by 1.1

$\frac{7568}{1.1}=\frac{P_o(1.1)}{1.1}$

$6880=P_o$

∴ $P_o=6880$

Thus, the population last year was = 6880