Question

the surface area of an oil spill gets 131% larger every day, represented by the function s(x) = (1.31)x − 1. on the first day, it covered an area of 21 square meters. which function would be used to find the area of the oil spill on the 47th day?

Answer 1

`s(47)=21(1.31)^(46)`

Explanation:

The given equation for the scenario is,

`s(x)=21(1.31)^(x-1)`

where,

s(x) is the surface area of an oil spill,

x is the number days.

On the first day, it covered an area of 21 square meters.

Putting x=1, we get
`s(x)=21(1.31)^(1-1)=21(1.31)^0=21* 1=21`

Hence, putting x=47, we will get the surface area of the oil spill on 47th day. So

`s(47)=21(1.31)^(47-1)\\\\=21(1.31)^(46)\\\\=5,208,335`

Answer 2

s(x) = 21(1.31) ^(x -1)

Day 1

s(1) = 21 (1.31)^(0) = 21

Day 47

s(47) = 21(1.31)^46

Answer: 21(1.31)^46