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(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

Answer 2

Answer:

$s(47)=21(1.31)^{46}$

Step-by-step 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 $s(x)=21(1.31)^{1-1}=21(1.31)^0=21\times 1=21$

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

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