Question

The population of a city is expected to increase by 7.5% next year. If p represents the current population, write an expression that represents the expected population next year?

Answer 1

`p+7.5\%p=p+0.075p=\boxed{1.075p}`

Answer 2

Answer: 1.75p

Explanation:

Let 'p' represents the current population.

The increase in the population of the city =7.5%

Therefore, the expected population next year= Current population+75% of the current population

`=p+75\%\ of\ p\ \\=p+0.75p....\text{[convert percent into decimal]}\\=p(1+0.75).........\text{[take p as common outside]}\\=p(1.75)=1.75p`

Hence, the expected population next year= 1.75p