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Example 2

Working together, carpenters Benjamin and Ava can build a table in 4 hours. Use the function to create a graph and to find the time required for each carpenter to build a table separately if Benjamin takes hours and Ava takes hours.
  1. Define the variables in the function.
  2. Substitute the defined variables into the given function and simplify.
  3. Graph the simplified equation.
  4. Describe the domain of the function and what that implies for the number of possible solutions for .
  5. Solve to find the indicated domain value(s) of and determine the amount of time Benjamin and Ava each take to build a table on their own.
This applet is provided by Walch Education as supplemental material for their mathematics programs. Visit www.walch.com for more information.