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?

Respuesta :

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

Answer:

The estimated number of skaters per week is 662.

Step-by-step 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,

[tex]A=900(1-\frac{5}{100})^x[/tex]

[tex]=900(1-0.05)^x[/tex]

[tex]=900(0.95)^x[/tex]

For 2006, x = 6,

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

[tex]A=900(0.95)^6[/tex]

[tex]=661.582701563[/tex]

[tex]\approx 662[/tex]