Relations Domain Range Word Problems

The daily cost of hiring a plumber, y, to work x hours on a repair project can be modeled using a linear function. The plumber charges a fixed cost of $80 plus an additional cost of $45 per hour. The plumber works a maximum of 8 hours per day. For one day of work, what is the DOMAIN of the function for this situation?

A set of weights includes a 45 lb barbell and 6 pairs of weight plate. Each pair of plates weighs 20 lb. If x pairs of plate are added to the barbell, the total weight of the barbell and plates in pounds can be represented by f(x)=20x+45. What is the range of the function in this situation?

• {0, 1, 2, 3, 4, 5, 6,}

• {45, 65, 85, 105, 125, 145, 165}

• {0, 2, 4, 6}

• {45, 55, 65, 75,85,95}

If I join the gym for a start up fee of $40 and monthly fee of $10, what is the range? Equation: f(x) = 40+10x

• -4, -3, -2, -1, 0.....

• $10, $20, $30, $40......

• 0, 1, 2, 3.....

• $40, $50, $60.....

A BBQ meal costs $12.50 a person plus a delivery fee of $30. The equation is: f(x)=30+12.5x, where x is the number of hungry people. If there are 15 people ordering BBQ, what is the domain?

• {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15}

• {0, 42.50, 55, 67.50, 80, ... , 105, 217.50}

• All Real Numbers

• Function
• Not a Function

Is this table a function or not a function? 

• Function

• Not a Function

All of the x values or inputs are called what?

• Domain

• Range

• Relation

• Function

Which relation is NOT a function?

• {(1,-5), (3,1), (-5,4), (4,-2)}

• {(2,7), (3,7), (4,7), (5,8)}

• {(1,-5), (-1,6), (1,5), (6,-3)}

• {(3,-2), (5,-6), (7,7), (8,8)}

All of the y values or outputs are called what?

• Domain

• Range

• Relation

• Function

Is this a function? 

• Yes

• No