Question

Given the table below, determine if the data represents a linear or an exponential function and find a possible formula for the function.

(x): 0, 1, 2, 3, 4
f(x): 14, 12.6, 11.34, 10.206, 9.185

A) Exponential; y=14(0.10)^x
B) Linear; y= -1.2024x + 13.871
C) Exponential; y= 14(0.90)^x
D) Linear; 18.871x - 1.2024

Please explain you answer. Please someone help me, I'm in need of some help.

Answer 1

simplified answer: its letter c

Explanation:

Answer 2

The answer is C) y=14(0.9)ˣ and it's an exponential function

PROOF

Give to x the respective values of x & calculate y, using y = 14(0.9)ˣ

x | y
---------|---------
0 | 14(0.9)⁰ = 14
1 | 14(0.9)¹ = 12.6
2 | 14(0.9)² = 11.34
3 | 14(0.9)³ = 10.206
4 | 14(09)⁴ = 9.1845