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WAEC Mathematics 2024 Paper

Question : 9

Total: 50

Solution:

Concept:

Population growth acts like compound interest, increasing by the same percentage each year.

Explanation:

Use the formula

P_n = P_0 \left(1 + \frac{r}{100}\right)^n

Here,

P_0 = 3000

r = 3\%

, and

n = 3

years from 2000 to 2003.

Substitute the values:

P_3 = 3000\left(1 + \frac{3}{100}\right)^3

Simplify:

P_3 = 3000(1.03)^3

Calculate:

1.03^3 = 1.092727

Then

P_3 = 3000 \times 1.092727 = 3278.181

Rounding to the nearest whole number gives

3278

Answer:

The population in 2003 is

3{,}278

Correct option: B.

3{,}278

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