Rate of change in cans rectcled each year

[carson_6969]

In orange city, 31% of all aluminum cans distributed will be rectcled each year. Suppose that Valencia Orange juice company distributes 178,000 cans. The number still in use after time t, in years us given by

N(t)= 178000(0.31)^(5)

a. Find the rate of change of the number still in use after 5 years.

= N(5)= 178000(0.31)^(5)

= 509.6 IS THIS RIGHT????

or maybe i should take the derivative then plug 5 for t

= t(0.31)
=5(0.31) = 1.55??????

b. As the time goes on, does the number of cans still in use approach any particular value? If so what is that value

****on this question i not really sure to answer it

any guides and advice, i will gladl appreciate it!

 

[arthur ohlsten]

There is something wrong with your equation.
N(t) has no variable t in it.
The derivative of your N(t) is 0
Your equation states that the number of cans in use is always the same, that is 178,000[.31]^5 about 500 cans
Arthur