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?

Answer 1

Based on this information...  there should be about 630 skaters in 2006.  I hope this helps.

Answer 2

The estimated number of skaters per week is 662.

Explanation:

Given,

The number of skaters per week in 2000 = 900,

Also, it is decreasing at a steady rate of 5% per year,

So, the number of skaters per week after x years since 2000,

`A=900(1-(5)/(100))^x`

`=900(1-0.05)^x`

`=900(0.95)^x`

For 2006, x = 6,

Thus, the number of skaters per week in 2006 is,

`A=900(0.95)^6`

`=661.582701563`

`\approx 662`