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Question 1(Multiple Choice Worth 5 points) (07.01 MC) 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?

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emilybelinda

the answer would be f(t) = 100(0.25)t

Plasmataco

This represents a half life equation - since as time increases, radioactivity decreases by half. If we take our exponential function

y = a(r)^t, r = 1/2 since as t increases, y halves. The initial amount of radiation is 100, so a = 100


Thus we get f(t) = 100(1/2)^t

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