Frank wrote a computer program that draws a polygon on the screen. The number of sides on the polygon increases at a rate of twenty% every minute. When the program begins, a square is drawn on the screen.
Define a unit for the time since the program started. Then enter a variable for the time and use this variable to write an expression for the number of sides of the polygon.
According to the model, how many sides will the polygon have after one minute?
According to the model, how many sides will the polygon have aftertwo minutes?
According to the model, how many sides will the polygon have afterthree minutes?
Graph the number of sides of the polygon as a function of the time since the program started.
Then use the graph to determine each unknown value. Note that you may need to adjust the scales on the axes.

Determine how long it will take for the polygon to have sixty-two sides?
Determine when the number of sides on the polygon will be double the number of sides of the original polygon.