The surface area of an oil spill gets 105% larger every day, represented by the function s (x) = (1.05) x - 1. On the first day, it covered an area of 31 square meters. Which function would be used to find the area of the oil spill on the 15th day?

Question

Mathematics

Joseph

15 April, 07:28

The surface area of an oil spill gets 105% larger every day, represented by the function s (x) = (1.05) x - 1. On the first day, it covered an area of 31 square meters. Which function would be used to find the area of the oil spill on the 15th day?

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Rey Thornton · Answer 1

The given scenario above is like a geometric sequence with r or common ratio being 1.05 and the first term being 31 square meters. The nth term of the sequence is calculated through the equation,

A15 = (A1) (r) ^ (n - 1)

Substituting,

A15 = (31) (1.05) ^ (15 - 1) = 61.3778 square meter

Therefore, the area covered by the spill after the 15th day is approximately 61.4 square meters.