11. Alison lives in a town with a population of 45 000.
It is predicted that the population of the town will:
increase by 2% every six months for the next 4 years
decrease by 5% per year for the following 3 years.
(a) Alison wants to calculate what the population of the town will be after 7 years. She completes the boxes in the calculation below:\[\textbf{Population} \;=\; \quad \mathbf{45\,000} \quad \boxed{\times 1.02^4} \quad \boxed{\div 1.05^3}\]Both boxes have been completed incorrectly. Complete each box below with the correct calculation. [2]\[\textbf{Population} \;=\; \quad \mathbf{45\,000} \quad \boxed{\phantom{\times 1.02^4}} \quad \boxed{\phantom{\times 1.02^4}}\]
(b) Circle the sketch that best shows the town’s changing population over the 7-year period. [1]
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