Please help solve my piecewise function problem?

Question

A certain state taxes the first $500,000 in property value at a rate of 1%; all value over $500,000 is taxed at 1.75%. Find a piecewise-defined function T that specifies the total tax on a property valued at x dollars. (Simplify your answer completely.)

Answer 1

 

1% = 0.01 and 1.75% = 0.0175 as pure decimal numbers.

 

T(x) =  {         0.01 * x    ,  if x<=500000

 

                      5000 + 0.0175 * x , otherwise

 

         }