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The number of animals in a population at the start of year i is P_i - Edexcel - GCSE Maths - Question 16 - 2018 - Paper 3

Question 16

The number of animals in a population at the start of year i is P_i. The number of animals at the start of year 1 is 400. Given that P_{n+1} = 1.01 P_n, work out the... show full transcript

Worked Solution & Example Answer:The number of animals in a population at the start of year i is P_i - Edexcel - GCSE Maths - Question 16 - 2018 - Paper 3

Step 1

Calculate number of animals at the start of year 2

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Answer

Using the formula provided, we can find the number of animals at the start of year 2 (P_2):

$P_2 = 1.01 imes P_1 = 1.01 imes 400 = 404$

Step 2

Calculate number of animals at the start of year 3

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Answer

Next, we calculate the number of animals at the start of year 3 (P_3):

$P_3 = 1.01 imes P_2 = 1.01 imes 404 = 408.04$

Since we typically count whole animals, we can round this to 408.

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