Question

The surface area of an oil spill gets 125% larger every day, represented by the function s(x) = (1.25)x − 1. On the first day, it covered an area of 49 square meters. Which function would be used to find the area of the oil spill on the 33rd day? s(x) = (1.25)x − 49 s(x) = (1.25)49 − 1 s(x) = 49(1.25)x − 1 s(x) = 1.25(49)x − 1.

Answer 1

Answer: Third option is correct.

Explanation:

Since we have given that

On the first day , area covered = 49 sq. feet

Every day, the surface area of an oil spill gets 125% larger.

it is represented as

`s(x)=1.25^(x-1)`

So, the area of the oil spill becomes after increment is given by

`s(x)=49(1.25)^(x-1)`

Area of the oil spill on the 33 rd day is given by

`s(33)=49(1.25)^(33-1)=49(1.25)^(32)=77308.37`

Hence, Third option is correct.