PreCalc: let Z(t) be the number of people in the mall at t minutes after they break through the doors. A model for this situation is given by Z(t) = 4(1.234)^t. The percent change per minute is 23.4.
1. Find an exponential model for Z of the form Z(t) = a(e)^(rt).
2. Solve Z(t) = 1000

Question

PreCalc: let Z(t) be the number of people in the mall at t minutes after they break through the doors. A model for this situation is given by Z(t) = 4(1.234)^t. The percent change per minute is 23.4. 
1. Find an exponential model for Z of the form Z(t) = a(e)^(rt).
2. Solve Z(t) = 1000

anonymous · Answer

Im not sure what you are trying to say here

dumbcow · Answer

haha im not really sure what the textbook writers are trying to say :)
lets go with typical exponential model where "r" is rate per minute, "a" is initial value
$$Z(t) = 4e^{.234t}$$
set equal to 1000, solve for "t" using natural log

anonymous · Answer

my teacher made the problem up actually, but thank you for your help nevertheless