Question

he 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

Answer 1

@cwrw238 @ganeshie8

Answer 2

You have provided only one answer choice and that is not the answer.
Try, t = 0, t = 1 and t = 2 in each choice and see if they output 180, 90 and 45 respectively.

Answer 3

(t) = 180(0.5)t

Answer 4

f(t) = 180(0.5)^t
put t = 0
What do you get for f(t) ?

Answer 5

0.5

Answer 6

0.5*180=90

Answer 7

0.5*90=45

Answer 8

When you put t = 0 in 180(0.5)^t you get 180 * (0.5)^0 = 180 * 1 = 180
t = 1, f(t) = 180 * 0.5 = 90
t = 2, f(t) = 180 * .5 * .5 = 45

So it satisfies all three f(t) values in the table.

Answer 9

so i was right