Question

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

Answer 1

100% represents the current size. To work out the new size, you add the percentage increase - this gives 107.5%

"per cent" means "per hundred" and is a ratio.

To work out the new value for p you multiply it by 107%.

To find a percentage, you multiply the the "percent" ratio and then divide by 100.

So 100% of p is: p * 100 / 100 (you can see here that 100/100 = 1, so the value is unchanged).

107% of p will be: p * 107 / 100

Answer 2

`p+0.075p=1.075p`