Question

It is estimated that approximately one-half of all aluminum cans will be recycled each year. If a soft drink company produces 350,000 cans one year, how many cans are still in use after 4 years of recycling and re-using, using this function?

Nt = 350,000(0.52)t

A 87,500
B 25,591
C 175,000
D 21,875

Answer 1

Answer: B

Explanation:

plato

Answer 2

First we rewrite the function correctly:
Nt = 350,000 (0.52) ^ t
Then, we substitute the number of years in the function to find the final value.
So we have that for t = 4:
Nt = 350,000 (0.52) ^ (4)
Nt = 25590,656
Nearest whole number:
Nt = 25591
Answer:
after 4 years of recycling and re-using
Nt = 25591
cans are still in use
B 25,591