Question

The population of a city is expected to
increase by 9.25% next year. If p represents
the current population, which expression
represents the expected population next
year?
A 1.925p
C. 1.0925p
B. p + 0.0925
D. 1+0.0925​

Answer 1

$\huge\boxed{1.0925p}$

Since the population is going to increase by a certain percentage, we have to add $100\%$ to the percentage to keep the original population.

$9.25\%+100\%=109.25\%$

Now, convert the percentage into a decimal. You can do this by moving the decimal place two places to the left.

$109.25\longrightarrow 1.0925$

Now, just multiply that by $p$.

$\large\boxed{1.0925p}$