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solmaris [256]
3 years ago
14

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 answer, I need to make corrections on my quiz. Please, please help.
Mathematics
2 answers:
adoni [48]3 years ago
6 0

Answer:

C) Exponential; y= 14(0.90)^x

Step-by-step explanation:

Given is a table in

x       0      1        2        3         4

f(x)    14 12.6  11.34  10.206   9.185

On observing the pattern we find that whenever x increases by 1, y decreases.

But the decrease is not constant hence relationship cannot be linear for x and y.

The change of y follows some pattern as a geometric sequence with common ratio as 0.9

I term is for x =0 and then x increases by 1 unit.

Hence when x=x, we have

y = 14(0.9)^{x}

Option C is right answer.

posledela3 years ago
5 0
The answer is C, the function is not following constant change, so not linear, and if it was .1^x, then it would be 1.4 instead of 12.6. So C is correct.
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Answer:

The correct answer is the last option, that is,

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I hope this helped. I am sorry if you get this wrong.

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