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?

Step-by-step explanation:

The general exponential function is given by :-

, where A is the initial amount , b is the multiplicative rate of change and t is the time period.

From , the given table the value of the function at t=0 is 180.

i.e the initial amount of radioactive material = 180

Also, the multiplicative rate is the common ratio of the values of the function w.r.t. to time

The multiplicative rate =

Now, the exponential function best represents the relationship between f(t) and t will be :-