Question

Cost of Freon Automobiles built before 1993 use Freon in their air

conditioners. The federal government now prohibits the manufacture of
Freon. Because the supply of Freon is decreasing, the price per pound is
increasing exponentially. Current estimates put the formula for the price per
pound of Freon at p(t) = 17.6(1.25)', where t is the number of years since
2000. Find the price of Freon in 2000 and 2010. How much will Freon cost in
the
year 2025?

Answer 1

9514 1404 393

Answer:

• 2000: 17.60 per pound
• 2010: 163.91 per pound
• 2025: 4,658.68 per pound

Explanation:

We assume your formula is intended to be ...

p(t) = 17.6(1.25^t)

__

For t=0, ...

p(0) = 17.6

For t=10, ...

p(10) = 17.6·1.25^10 ≈ 163.91

For t=25, ...

p(25) = 17.6·1.25^25 ≈ 4,658.68