Hello I need help please this homework is confusing please as quickly as possible

Question

Identify the function that best models the given data.

 

A.) f(x) ≈ 199(1.25)^x

B.) f(x) = 1.25x + 199

C.) f(x) = 1.25x² − 2.25x + 199

D.)

Answer 1

First of all, this is a growth situation. Equation (A) is the closest to a growth formula of

P = P₀r^t

If you try a few points, you will find Equation (A) fits the data closer than the other equations.

x (A) (B) (C) (D)

0 199 199 199 -1.25

1 248.75 200.25 198 197.75

2 310.94 201.5 199.5 280.17

3 388.67 202.75 203.5 343.43

4 485.84 204 210 396.75

5 607.30 205.25 219 443.73