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For which function does f decrease by 15% every time x increase by 1? A: f(x)= 0.15^x B: f(x)=8.5^x C: f(x)=15^x. D: f(x)=85^x

User Henrik N
by
6.7k points

1 Answer

2 votes

Answer:


f(x) = (0.85)^x

Explanation:

Exponential amount of decay:

The equation for an amount that decays exponentially has the following format:


A(x) = A(0)(1 - r)^x

In which r is the decay rate, as a decimal.

Decrease by 15%

This means that
r = 0.15. So


f(x) = (1 - r)^x = (1 - 0.15)^x = (0.85)^x

So


f(x) = (0.85)^x

User Rajesh Maurya
by
7.6k points
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