Question 705011

SCQEASY

The population of a town is increasing at a uniform rate. If its population was 90,000 and 96,000 in 2022 and 2023 respectively, what would be its population in 2024?

(A)

102,000

(B)

102,400

(C)

102,720

(D)

102,960

Detailed Solution

Population in 2022 = 90,000. Population in 2023 = 96,000. Rate of increase = 96,000−90,00090,000=6,00090,000=0.0666...\frac{96,000 - 90,000}{90,000} = \frac{6,000}{90,000} = 0.0666... or 230=115\frac{2}{30} = \frac{1}{15}. Using the rate of growth: Population in 2024 = 96,000×(1+6,00090,000)=96,000×96,00090,000=96,000×1.066...=102,40096,000 \times (1 + \frac{6,000}{90,000}) = 96,000 \times \frac{96,000}{90,000} = 96,000 \times 1.066... = 102,400.

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