Domain and Range word problems homework

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}

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}

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}

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?

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?

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 teacher bought a package of stickers to pass out as rewards for her students. The package started off with 100 stickers, and each student gets 2 stickers a day. If the equation f(x)=100-2x represents the number of stickers the teacher has left, what is the largest value in the domain?

• 50

• 100

• 2

• 25

The booster club is selling school t-shirts for $10 each. Their initial cost to buy 30 t-shirts was $150. The profit, p, on the 30 shirts is a function of the number of t-shirts sold, t, can be found using the function p=10t-150.

Identify whether this is continuous or discrete and the domain/range.

• Discrete

  Domain: {0, 1, 2, 3, 4, 5, ..., 30}
  Range: {-150, -149, -148, ..., 150}

• Discrete

  Domain: {-150, -149, -148, ..., 150}
  Range: {0, 1, 2, 3, ..., 30}

Sara works between 7 and 20 hours a week at a carwash. She earns $50 in tips plus $8 an hour. Sara's earning can be represented by the function e=50+8h.

Is this situation continuous or discrete? and what is the domain/range?

• Range

  Domain: {7, 8, 9, 10, ..., 20}
  Range: {106, 107, 108, ..., 210}

• Range

  Domain: {106, 107, 108, ..., 210}
  Range: {7, 8, 9, 10, ..., 20}

The girls basketball team is having a fundraiser. The girls will receive $5 for each product, p, that they sell. They are required to sell at least 5 items but no more than 10.

Is this continuous or discrete and what is the domain/range?

• Discrete

  Domain: {5, 6, 7, 8, 9, 10}

  Range: {25, 30, 35, 40, 45, 50}

• Discrete

  Domain: {25, 30, 35, 40, 45, 50}

  Range: {5, 6, 7, 8, 9, 10}