Question 38095
What's required is to find the equations for Bob and Tom's income and
graph them both.
 Income = (hours worked)*(hourly pay) + (rate of commision)*(value of sales)
h = hourly pay
{{{I(t) = 5*h + (.15)* 5000}}}
{{{I(b) = 9*h + (.10)* 5000}}}
{{{I(t) = 5*h + 750}}}
{{{I(b) = 9*h + 500}}}
graph I versus h for Tom and Bob
hours worked is on the x-axis. The y axis is Income (Bobs or Toms)
{{{ graph( 400, 300, -20, 100, -200, 2000, 5*x + 750,9*x + 500) }}}
The point where their incomes are equal can be determined
by setting I(b) = I(t)
{{{5*h + 750 = 9*h + 500}}}
{{{4*h = 250}}}
{{{h = 62.5}}}
So, when both have worked 62.5 hours, their incomes are equal. Before
that point, Toms income is higher