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For which function does f decrease by 15% every time x increases by 1


[tex]a.f(x) = 0.15) ^{x} [/tex]
[tex]b.f(x) = 0.85 ^{x} [/tex]
[tex]c.f(x) = 15 ^{x} [/tex]
[tex]d.f(x) = 85 ^{x} [/tex]




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Respuesta :

kudzordzifrancis

Answer:

[tex]f(x) = 0.85^{x} [/tex]

Step-by-step explanation:

The exponential function that decrease by 15% every time x increases by 1 is given by:

[tex]f(x) = {(1 - 0.15)}^{x} [/tex]

We simplify the parenthesis to get:

[tex]f(x) = 0.85^{x} [/tex]

Therefore the decrease by 15% every time x increases by 1 is

[tex]f(x) = {0.85}^{x} [/tex]

The second choice is correct.

MrRoyal

The equation of the function is [tex]f(x) = (0.85)^x[/tex]

How to determine the function?

From the question, we understand that:

The function f decrease by 15% every time x increases by 1

This means that the function is an exponential function with a growth factor of 1 - 15%

The exponential function is represented as:

[tex]f(x) = a(1 - 15\%)^x[/tex]

Evaluate

[tex]f(x) = a(0.85)^x[/tex]

Assume the initial value (a) is 1.

The function becomes

[tex]f(x) = (0.85)^x[/tex]

Hence, the equation of the function is [tex]f(x) = (0.85)^x[/tex]

Read more about exponential functions at:

https://brainly.com/question/11464095

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