Question

15) Baker City had a 7% increase in population from 2006 to today. If the current population is 534,600, what was the population in 2006?

Answer 1

499,626

Step-by-step explanation:

Let the population in 2006 = x

The population increased by 7%, therefore:

`\begin{gathered} \text{Current Population=x+(7\% of x)} \\ =x(1+7\%) \\ =x(1+0.07) \\ =1.07x \end{gathered}`

Since the current population is 534,600, then:

`1.07x=534,600`

Solve for x by dividing both sides by 1.07

`\begin{gathered} \frac{\text{1}.07x}{1.07}=(534,600)/(1.07) \\ x=499,626.2 \\ \approx499,626 \end{gathered}`

The population in 2006 was 499,626.