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.

Respuesta :

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
bh3896

Answer:

simplified answer: its letter c

Step-by-step explanation: