Question

I need help with this please! I want someone to go through the steps with me, not tell me the answer. Thanks~! ^_^


The amount of a radioactive material changes with time. The table below shows the amount of radioactive material f(t) left after time t:

t(hours) 0 1 2
f(t) 100 50 25


Which exponential function best represents the relationship between f(t) and t?

Answer 1

f(t) = 0.5(100)t

f(t) = 100 (0.25)t

f(t) = 0.25(50)t

f(t) = 100(0.5)t

Answer 2

@Directrix Can you help with this?

Answer 3

Let f(t) = a x^t

first plug in t = 0 and f(t) = 100
and find a . What do you get?

Answer 4

100 = a x^0 right?

Answer 5

- because when t = 0 , f(t) = 100

Answer 6

Alright I got it so far.

Answer 7

Is that it?