Question

the population of a city increases by 2.3% per year. if this year’s population is p, which expression represents next year’s population?
answer
1.023p
1.0023p
1 + 0.023p
0.023p

Explanation:

Step1: Convert percentage to decimal

To convert 2.3% to a decimal, we divide by 100: \( 2.3\% = \frac{2.3}{100} = 0.023 \).

Step2: Find the multiplier for next year's population

When a quantity increases by a percentage, the multiplier is \( 1 + \) the decimal form of the percentage. So the multiplier here is \( 1 + 0.023 = 1.023 \).

Step3: Calculate next year's population

This year's population is \( p \), so next year's population is the multiplier times \( p \), which is \( 1.023p \).

Answer:

1.023p