One Calculus Question

In one city, 21% of all glass bottles distributed will be recycled each year. A city uses 293,000 pounds of

glass bottles. After recycling, the amount of glass bottles, in pounds, still in use 𝑡 years is given by

𝑁(𝑡) = 293,000(0.21)𝑡

a. Find 𝑁(3). Round to three decimal places.

b. Find 𝑁′(𝑡).

c. Find 𝑁′(3). Round to two decimal places.

d. Interpret the meaning of 𝑁′(3).