Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

The population of a city decreases by 
2% per year. If this year's population is 
p, which expression represents next year's population?

0.02 p

0.98 p

0.998 p

2p

The population of a city decreases by 2% 2 \% per year. If this year's population is p p , which expression represents next year's population?\newline0.02p 0.02 p \newline0.98p 0.98 p \newline0.998p 0.998 p \newline2p 2 p

Full solution

Q. The population of a city decreases by 2% 2 \% per year. If this year's population is p p , which expression represents next year's population?\newline0.02p 0.02 p \newline0.98p 0.98 p \newline0.998p 0.998 p \newline2p 2 p
  1. Understand Percentage Decrease: Understand the percentage decrease. A 2%2\% decrease means that the population will be 2%2\% less than the current population.
  2. Convert to Decimal: Convert the percentage decrease to a decimal.\newlineTo find the new population, we subtract 2%2\% (as a decimal, which is 0.020.02) from 11 (which represents the whole population).\newline10.02=0.981 - 0.02 = 0.98
  3. Apply Decrease to Population: Apply the decrease to the current population.\newlineTo find next year's population, we multiply the current population pp by 0.980.98.\newlineNext year's population = p×0.98p \times 0.98