Posted by ANON on Wednesday, October 17, 2012 at 6:57pm.
P = 225 * 1.1^t
Explanation: Every year, the population grows by 10%, so you multiply by 110% for the first year, 110%*110% for the second year, etc.
Evaluate y=6000e−x/20 at x = 20 and at x = 120
y(20)=6000e−20/20 = 6000 * e^-1 = 2207
y(120)=6000e−120/20 = 6000 * e^-6 = 14.87
So find a linear equation through the two points (20, 2207) and (120, 14.87)
which is of the form y = mx + b, where m is the slope, and b is the y intercept
The slope is (14.87-2207)/(120-20)
The y intercept is found by plugging one point into the equation and solving for b
2207 = ((14.87-2207)/(120-20))*20 + b
Solve for b and you have found your equation
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