Question

25 POINTS!!!!!!
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?

A. s(x) = (1.31)21 − 1
B. s(x) = 21(1.31)x − 1
C. s(x) = (1.31)x − 21
D. s(x) = 1.31(21)x − 1

Answer 1

B. s(x) = 21(1.31)x − 1

Answer 2

Answer:

The correct option is B.

Step-by-step explanation:

It is given that the surface area of an oil spill gets 131% larger every day, represented by the function

$s(x)=(1.31)^{x-1}$

Where x is number of days.

On the first day, it covered an area of 21 square meters. It means the initial area is 21 square meters.

The function is defined as

$s(x)=ab^x$

Where is initial value and b is growth factor.

It means the function of new area is the product of initial area and increasing area function. The required function is

$s(x)=21(1.31)^{x-1}$

Therefore option B is correct.