A quantityP

is an exponential function of timet

, such thatP0a4=27

andP0a3=30

. Use the given information about the functionP=P0at

to:

(a)Find values for the parametersa

andP0

.

Round your answer forP0

to three decimal places. Enter the exact answer fora

.

a=

Enter your answer; a

P0=

Enter your answer; P0

(b)State the initial quantity and the percent rate of growth or decay.

Round your answer for the initial quantity to three decimal places. Enter the exactpositiveanswer for the percent growth or decay rate.

The initial quantity is

Enter your answer; The initial quantity is

and the quantity is

Choose your answer; the quantity is

decaying

growing

at a rate of

Enter your answer; at a rate of _ % per unit time

%

per unit time.