Question

ndiana’s population has increased by 9.5% since 2000, when it was about 6 million people. What is Indiana’s population now? Write your answer as a standard number. Hint: the number will have 7 digits with two commas.

Answer 1

Given that the initial population was 6 million, and the population increased by 9.5% since 2000, this implies that

`Percentage\text{ increase=}\frac{new\text{ population -inital population}}{initial\text{ population}}*100`

Let x represent the new population.

By substitution, we have

`\begin{gathered} 9.5=(x-6000000)/(6000000)*100 \\ \Rightarrow9.5=(x-6000000)/(60000) \\ solving\text{ for x, we have} \\ x=6570000 \end{gathered}`

Hence, the new population is 6570000