Question

22. The population, P, of the city of Hazelton has grown according to the mathematical model

P = 65,000(1.075)', where t is the number of years since 2005.
a) At what percentage is the population growing? [1 mark]

Answer 1

7.5%

Explanation:

• The exponent 't' is applied to 1.075
• 1.075 is the rate at which it increases
• Decimal → % = x 100
• 1.075 × 100 = 107.5%
• 107.5% - 100% = 7.5%