SOLUTION: The number of visitors to a small pumpkin patch that opened in 2003 increased each year as shown in the table. Set up and solve an equation(s) to predict the number of visitors in

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: The number of visitors to a small pumpkin patch that opened in 2003 increased each year as shown in the table. Set up and solve an equation(s) to predict the number of visitors in       Log On


   

Question 1138784: The number of visitors to a small pumpkin patch that opened in 2003 increased each year as shown in the table. Set up and solve an equation(s) to predict the number of visitors in 2020, assuming the increase continues at this same rate.
Please use the equation for exponential growth y=b(1+r)^t
Year 2003 2004 2005 2006 2007 2008
Visitors 500 515 530 546 563 580
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
y, the visitors
t, time in year number assuming t = 0 is for 2003


Take log base 10 of both sides:
log%28%28y%29%29=t%2Alog%28%281%2Br%29%29%2Blog%28%28b%29%29

Do the same with your data (for your y, not your t).

Graph your points.
Slope 0.1286=log%28%28r%2B1%29%29
y-intercept b=10%5E2.699


Your model equation:

highlight%28y=500%281.030%29%5Et%29