c. The maximumpossiblearea:usingthe processfrom example6, you shouldfind that (50, 2500)is the
maximumpoint.This tells us that whenthe rectangle’s widthis 50 ft, the area is 2500ft^2.
d. Intercepts:Usingthe processfrom example6, you shouldfind that the x interceptsare at 0 and 100. This
tells us that if the widthof the gardenis 0, then the area is 0. If the widthof the plot of land is 100, then the
area is 0. This is the casebecausethereis only 100 feet of fence.If the widthis 100, thereis no morefence
for the rest of rectangle!
Now we can returnto the weatherexample.Introductionto trigonometricfunctions
Consideragainthe temperaturedata from above: