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?

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?

yato_gami · Answer

f(t) = 0.5(100)t

 f(t) = 100 (0.25)t

 f(t) = 0.25(50)t

 f(t) = 100(0.5)t

yato_gami · Answer

@Directrix Can you help with this?

welshfella · Answer

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

welshfella · Answer

100 = a x^0    right?

welshfella · Answer

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

yato_gami · Answer

Alright I got it so far.

yato_gami · Answer

Is that it?