Question

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) 180 90 45


Which exponential function best represents the relationship between f(t) and t?
f(t) = 0.5(180)t

f(t) = 180(0.25)t

f(t) = 180(0.5)t

f(t) = 0.5(50)t

Answer 1

what do you think

Answer 2

are the t's exponents?

Answer 3

yes

Answer 4

yes

Answer 5

well 90 is half of 180, and 45 is half of 90... so it looks like you have 180 (.5)^t

Answer 6

f(t) = 180(0.5)^t

Answer 7

ok thanks