Domain and 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 range of the function for this situation?

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.SSE.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.B.5

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}

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CCSS.HSA.REI.D.10

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.4

The height in inches of concrete being poured for a foundation can be found using the function y=15+2.5x, where x is the number of minutes. If the concrete is poured between 5 and 10 minutes, find the domain and range of this situation.

• Domain: {5, 6, 7, 8, 9, 10} Range: {28, 29, 30, ..., 40}

• Domain: {28, 29, 30, ..., 40} Range: {5, 6, 7, 8, 9, 10}

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.5

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?

Tags

CCSS.HSA.CED.A.3

CCSS.HSF.IF.B.5

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.....

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.4

Mae worked at a summer camp where she earned $20 plus $7 an hour each week. The amount of money she earned each week, e, is a function of the number of hours she works, h. Mae could not work more than 20 hours each week.

What is the domain/range? Note: Mae can work part of an hour.

• Domain: {0, 1, 2, 3, ..., 20}

  Range: {20, 27, ..., 160}

• Domain: {20, 27, ..., 160}

  Range: {0, 1, 2, 3, ..., 20}

Tags

CCSS.HSA.CED.A.3

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.5

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}

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.5

Leslie's car travels about 25 miles per gallon of gas.

This situation can be represented by the function f(x) = 25x

Her car needs 14 gallons of gas to be full. What is a reasonable domain?

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.5

Leslie's car travels about 25 miles per gallon of gas.

This situation can be represented by function f(x) = 25x

Her car needs 14 gallons of gas to be full. What is a reasonable RANGE?

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.SSE.A.1

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

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.5