19.The height of a man can be estimated from the length of his radius. The radius is one of the bones in the forearm of the human body that extends from the elbow to the hand. The height of a man, h, in centimetres, is approximately a function of the length of the man's radius in centimetres, r, given as:

h(r)=3.27r+89.93h(r)=3.27r+89.93

a) If the dependent variable has a value of 155.33 cm, determine the value of the independent variable. Round your answer to the nearest hundredth. (1 mark)

b) Determine the domain and range appropriate for this situation. (2 marks)

20.Line AB passes through A(-3, 4) and B(5, 5). Line CD passes through C(-3, 5) and D(6, -3).

a) Are line AB and line CD parallel, perpendicular, or neither? Justify your answer with calculations.

b) Explain how you can determine if two lines are perpendicular without graphing.

21.The population of the town of Malama on January 1, 2000 was 9200 people, represented by (0, 9200). The population of Malama on January 1, 2009 was 13,457, represented by (9, 13 457).

a) Write an equation to represent the population of Malama as a function of the number of years after January 1, 2000. Write your equation in general form. (2 marks)

b) Use the equation from part a) to determine the population of Malama on January 1, 2025. Round your answer to the nearest whole number.

22. A farmer plants wheat on a quarter section of land. A quarter section of land is equal to 160 acres. Most of the quarter section is planted with wheat, and the remaining area is a swamp. The difference between the area of the wheat and the area of the swamp is 106 acres.

a) Write a linear system to model this situation. (1 mark)

b) How many acres of land is planted with wheat? Solve algebraically using either the elimination method or the substitution method.