At Ron's Roller Rink, the number of customers has been decreasing at a steady rate of 5% per year. If there were 900 skaters per week in 2000, what is a good estimate for the number of skaters per week in 2006?
A. 778 skaters B. 662 skaters C. 695 skaters D. 732 skaters

Question

At Ron's Roller Rink, the number of customers has been decreasing at a steady rate of 5% per year. If there were 900 skaters per week in 2000, what is a good estimate for the number of skaters per week in 2006?
 A. 778 skaters  B. 662 skaters  C. 695 skaters  D. 732 skaters

anonymous · Answer

900 in 2000, x in 2006
6 periods, -5% per period. Each period has 95% of the skaters the last period had.

number in 2001 = number in 2000 * 0.95
number in 2002 = number in 2001 * 0.95
Substituting,
number in 2002 = number in 2000 * 0.95 * 0.95

If you continue this, you will notice a pattern.

After n periods, the amount will be initial * percent each time to the power of n.
Pluggin values in:

skaters in 2006 = 900 * 0.95^6
skaters in 2006 approx = 661.5827

Answer is B. 662.

anonymous · Answer

Lol, defined x and never even used it. Disregard it, thought about explaining it a diff way but decided against it.

anonymous · Answer

Thanks