Question

A radio-active atom has a half-life of a day. This means that it decays by 1/2 each day. Write an equation for this expinential function if you start with 64 grams

Answer 1

y = 64(0.5)ˣ

Explanation:

We can write this as an exponential decay function. The formula for that is y = a(1 - b)ˣ where a is the initial value and b is the decay factor. In this case, a = 64 and b = 1/2 or 0.5 so the final answer is y = 64(0.5)ˣ.