Respuesta :
Answer:
The answer is B S=800(0.5)h
Which expression relates h, the number of half-lives, and y, the number of years? Answer h=y/2.6
Combine the first two equations and laws of exponents to find the equation for the mass of sodium remaining after y years. Answer S=800(0.766)y
Approximately how many milligrams of sodium remain after 8.4 years? Answer 85.2 mg
Step-by-step explanation:
The exponential function that represents the mass of sodium remaining after h half-lives is given by:
[tex]S(t) = 800(0.5)^h[/tex]
What is an exponential function?
A decaying exponential function is modeled by:
[tex]A(t) = A(0)(1 - r)^t[/tex]
In which:
- A(0) is the initial value.
- r is the decay rate, as a decimal.
- t is the period.
Half-life is the time for the amount to be half of it is, hence t = h, r = 0.5. The initial amount is of A(0) = 800 mg, hence, the equation is:
[tex]S(t) = 800(0.5)^h[/tex]
More can be learned about exponential functions at https://brainly.com/question/25537936
