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lara31 [8.8K]
2 years ago
13

The function f(x) = 200(0.5)x/50 models the amount in pounds of a particular

Mathematics
1 answer:
victus00 [196]2 years ago
4 0

<u>Answer:</u>

29 years

<u>Step-by-step explanation:</u>

  • Given the function f(x)= 200(0.5)^{\frac{x}{50} }, where x stands for the number of years since the material was put into the vault, we can plug 140 into x to find the amount leftover.
  • Another way of doing this is to change the function to f(x)=200(0.5^{\frac{1}{50} })^{x} which are equivalent functions, and then plug 140 into x. This function is helpful if you also needed to find the rate.
  • I'll use the 1st function because the question doesn't ask for the rate

f(x)= 200(0.5)^\frac{140}{50}}

From here I'll just use a calculator & get 28.7, or 29 years.

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