Asked by Sydney
The rate of auto thefts triples every 6 months.
(a) Determine, to two decimal places, the base b for an exponential model y = Ab^t of the rate of auto thefts as a function of time in months.
b =
(b) Find the doubling time to the nearest tenth of a month.
months
(a) Determine, to two decimal places, the base b for an exponential model y = Ab^t of the rate of auto thefts as a function of time in months.
b =
(b) Find the doubling time to the nearest tenth of a month.
months
Answers
Answered by
Steve
(a)
y = A*3^(t/6) = A*(3^(1/6))^t = A*1.20^t
(b)
solve 1.20^t = 2
for t
y = A*3^(t/6) = A*(3^(1/6))^t = A*1.20^t
(b)
solve 1.20^t = 2
for t