how to solve word problem attached

Question

http://i.imgur.com/l2iJATg.png

Answer 1

For part (a) grab a calculator and plug in t=10 to the equation given, find P(10).

For part (b) note that there are 24hrs/day and so in 2 days * 24hrs/day = 48 hours have elapsed...calculate P(48).

Part (c) involves some algebra...find t, such that P(t)=150(#)^t=225.

 

First, divide by 150 and not that (#)^t=225/150...then apply a logarithm to this equation (to bring the t down a level)...

 

t*log(#) = log(225/150)...divide by the log of the exponential growth rate and you have found t!

 

Hope that helps!