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) 100 50 25


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

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 1

@pratyush5 I hate to bother you again but you seem like the only person that can answer my math qs

Answer 2

Sorry to disappoint but i havent studied functions yet. :(

Answer 3

@amoodarya maybe he can help

Answer 4

ok but thank you for trying. :D

Answer 5

ok thank you so much

Answer 6

@amoodarya could you plz help me out? :)

Answer 7

t(hours) 0 1 2
f(t) 100 50 25
do you mean ?
10 for 0
50 for 1
25 for 2

Answer 8

yes

Answer 9

100 for 0

Answer 10

suppose f(t)= a * (b)^c
now put point in it to find a ,b, c

Answer 11

What does a and b represent?

Answer 12

it easier to say
f(t)= a*(1/4)^b
because ratio is 1/4 =0.25

Answer 13

oh ok

Answer 14

f(t) = 100 (0.25)t

Answer 15

so would f(t) = 100 (0.25)t be my answer? :)

Answer 16

put (0,100)
100=a* (1/4)^0
100=a*1
a=100
then put (1,50)
50 =a*(1/4)^(b)
50=100 *(1/4)^b
1/2=(1/4)^b

Answer 17

so b=1/2
and f(t)=100 (1/4)^(t/2)
it means
f(t)=100(0.5)^t

Answer 18

ok i think i understand it now, thank you very much! :D

Answer 19

you did not type it correct
but it 4th choice

Answer 20

ok thank you so much :D