Calculating the Doubling Time
  1. Find the Doubling Time for the function f(x)=180(1.05)x\displaystyle {f{{\left({x}\right)}}}={180}{\left({1.05}\right)}^{{x}} using the intersect feature on your graphing calculator. Set your window as follows

    Xmin = -5, Xmax = 17, Ymin = 130, Ymax = 370

  2. Write the Doubling Equation.
  3. Write the point of intersection as an ordered pair below. Round the value of x\displaystyle {x} to two decimal places.
  4. Use the Line Tool to draw the Horizontal Line representing the output quantity.
  5. Use the Exponential Tool to draw the Exponential Function.
  6. Use the Point Tool to identify the point of intersection.
Doubling Equation:  

Point of Intersection:

1234567891011121314151617-1-2-3-4-5130140150160170180190200210220230240250260270280290300310320330340350360370
Clear All Draw: LineExponentialDot

License