The amount of radioactive uranium changes with time. The table below shows the amount of radioactive uranium f (t) left after time t:

t (hours) 0 0.5 1

f (t) 100 50 25

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

A). f (t) = 100 (0.25) t

B). f (t) = 0.25 (100) t

C). f (t) = 100 (0.5) t

D). f (t) = 0.25 (50) t

Question

Mathematics

Luca Benton

11 February, 02:37

The amount of radioactive uranium changes with time. The table below shows the amount of radioactive uranium f (t) left after time t:

t (hours) 0 0.5 1

f (t) 100 50 25

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

A). f (t) = 100 (0.25) t

B). f (t) = 0.25 (100) t

C). f (t) = 100 (0.5) t

D). f (t) = 0.25 (50) t

+2

Answers (1)

Know the Answer?

Kathleen Farrell · Answer 1

A). f (t) = 100 (0.25) t

because 100 is our y-intercept since it's 100 when t equals 0. After 1 day, f (t) = 25 because when we plug in 1 in our equation,

f (t) = 100 (0.25) ^1

f (t) = 100 (0.25)

f (t) = 25