Question

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

Answer 1

Answer:

29 years

Step-by-step explanation:

• 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.