Question

In one city, 35% of all aluminum cans distributed will be recycled each year. A juice company distributes 110,000 cans. The number still in use after time t, in years, is given by

Answer 1

Answer:
`n(t) = 110000(0.35)^t`

Explanation:

Given: Rate of of all aluminum cans distributed will be recycled each year. = 35%

= 0.35

Total cans distributed = 110,000

Now , the number of cans recycled in 1 year = 110,000 ×0.35

The number of cans recycled in 2 years = 110,000 ×0.35 ×0.35 = 110,000 ×(0.35)²

..so on

The number of cans recycled in t years =
`110000(0.35)^t`

Let n(t) be the number still in use after time t, in years:

Then,
`n(t) = 110000(0.35)^t`