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A hot air balloon is descending - Edexcel - GCSE Maths - Question 21 - 2020 - Paper 2
Question 21
A hot air balloon is descending. The height of the balloon n minutes after it starts to descend is h_n metres. The height of the balloon (n + 1) minutes after it... show full transcript
Worked Solution & Example Answer:A hot air balloon is descending - Edexcel - GCSE Maths - Question 21 - 2020 - Paper 2
Step 1
Substituting values for K using heights at 09:15 and 09:16
Answer
We are given that at 09:15, the height is 1200 metres and at 09:16, it is 1040 metres.
Using the formula:
h_{n+1} = K h_n + 20
Substituting the known values for n = 1 (09:15):
1040 = K * 1200 + 20
Rearranging gives:
K * 1200 = 1040 - 20
K * 1200 = 1020
This leads to:
K = \frac{1020}{1200} = 0.85.
Step 2
Step 3