Question

there was a substance of a 450 milligrams of radioactive substance to start a study. Since then the sample has decayed of 5.4% each year. Let t be the number of years since the start of the study. Let Y be the mass of the sample in milligrams. Write an exponential function showing the relationship of the y and t

Answer 1

Answer: $\bold{Y = 450e^{(.054t)}}$

Step-by-step explanation:

The general formula for decay is:

$A = Pe^{rt}$  ; where:

• P is the initial mass
• r is the rate (in decimal form)
• t is the time

Given:

• P = 450
• r = 5.4% = .054

Equation:

$Y = 450e^{(.054t)}$