Fair Share for Hired Hands The Fulkerth family is large, and they have seven hired hands. The family has a total of about $20 per week available for salaries. Four of the hired hands are experienced at working on the trail. The other three are on their first trip. It seems fair that the experienced hired hands should get more pay than those without experience. So the Fulkerths decide that there will be one rate for the four experienced workers and another rate for the three without experience. 1. What should each weekly pay rate be? Suggest three possible combinations. The salary total can be a few cents more or less than $20 if that helps you avoid fractions of a penny. 2. Plot your three combinations from Question 1. Use X for the pay rate of an inexperienced hired hand and Y for the pay rate of an experienced hired hand. 3. Connect the points with a straight line. Use this graph to find two more possible pairs. 4. Describe in words how you could compute the weekly pay rate for an experienced hired hand if you knew the rate for an inexperienced hired hand. Assume the weekly total is exactly $20. 5. Express your sentence from Question 4 as an equation, giving Yin terms of X. 6. Check to see if the two new pairs from Question 3 fit the equation from Question 5.