Problema Solution
Andrew measures the amount of a very unstable substance to be 100 moles. The half-life of this substance is 3 days (after 3 days, half is gone). Write an exponential function that models this situation where y is the amount of substance and x is time in days. Use your equation from problem 28 to complete the chart to the right: Chart Days -3(3 days prior) 0,3,6,9,12
Amount
Answer provided by our tutors
y = 100*(1/2)^(x/3)
for x = -3
y = 100*(1/2)(-3/3)
y = 200 moles
for x = 0
y = 100*(1/2)(0/3)
y = 100 moles
for x = 3
y = 100*(1/2)(3/3)
y = 50 moles
for x = 6
y = 25 moles
for x = 9
y = 12.5 moles
for x = 12
y = 6.25 moles