Question

Every ten years, the Census counts how many people are living in every town in

the United States.
The 2010 Census showed that 1,000 people were living in Appleville,
and 4,000 people were living in Bridgetown.
The population of Appleville is predicted to double every ten years.
The population of Bridgetown is predicted to increase by 1,000 every
ten years.
If the predictions come true, what will be the first census year that will show
Appleville with a larger population than Bridgetown?

Answer 1

2040

Explanation:

i got it right

Answer 2

2040

Explanation:

We know Appleville is predicted to double its population every 10 years, while Brigdetown simply adds 1000. Doing the math, the 2040 Census will be the first one where Appleville's population (8,000) will be larger than Bridgetown's (7,000).

Appleville: 1,000 * 2³ = 1,000 * 8 = 8,000 people in 2040

Bridgetown: 4,000 + 3(1,000) = 4,000 + 3,000 = 7,000 people in 2040

8,000 > 7,000, so 2040 will be first census year where Appleville is larger than Bridgetown. (I know this is extra, but if this was asking for first year overall, then it would be 2037. 6,800 > 6,600)