Domain Range Word Problems

Lucy's dog gave birth to a litter of 7 puppies. She plans to sell each puppy for $350. The function f(x)=350x can be used to represent this situation. What is the domain/ range of this function?

• Domain: {0, 1, 2, 3, 4, 5, 6, 7}

  Range: {0, 350, 700, 1050, 1400, 1750, 2100, 2400}

• Domain: {0, 350, 700, 1050, 1400, 1750, 2100, 2400}

  Range: {0, 1, 2, 3, 4, 5, 6, 7}

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

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 range 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.....

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?

The total cost in dollars to buy uniforms for the players on a volleyball team can be found using the function c(u) = 34.95u+6.25, where u is the number of uniforms bought. If there are at least 8 players but not more than 12 players on the volleyball team, what is the domain of the function for this situation?

A set of weights includes a 4 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+4. What is the range of the function in this situation?

• {0, 1, 2, 3, 4, 5, 6,}

• {4, 24, 44, 64, 84, 104, 124}

• {0, 2, 4, 6}

• {4, 44, 84, 124}

The number of ferryboat trips, f(c), needed to transport c cars in 1 day can be found using the function f(x)=c/20. If there are no more than 5,000 cars transported by ferryboat daily, what is the range of the function in this situation?

• The set of all integers greater than or equal to 5,000

• The set of all integers from 0 to 5,000

• The set of all integers greater than or equal to 250

• The set of all integers from 0 to 250

Mario has and iTunes gift card worth $20.00. He uses the formula    y=0.99x to determine y, the total cost for x number of songs. What is the domain for the situation?

• All integers between 0 and 20

• All real numbers between 0 and 19.80

• All integers greater than 0

• All integers between 0 and 250