Domain and Range from a Story

At the beginning of the school year, Billy's dad deposited $100 in Billy's school lunch account. Each time Billy buys hot lunch, $4 is deducted from the account balance. The function B(h) represents the balance, in dollars, of Billy's lunch account after he buys hot lunch h times.

What is the domain?

• All whole numbers less than or equal to 100

• All whole numbers from 0 to 25

• all real numbers less than or equal to 100

• all real numbers from 0 to 25

Chad works for Gabe's Pizza Place as a delivery driver. In addition to his hourly wage, he earns $2 per delivery. The function C(d) represents the amount Chad has earned on top of his hourly wage for completing d pizza deliveries.

What is the domain?

• All whole number

• All real numbers

• All real numbers greater than 2

• All whole numbers greater than 2

Lucy makes some extra money working as a referee at youth soccer games. She earns $30 for each game she referees. The function D(g) represents the total amount Lucy earns, in dollars, for refereeing g soccer games.

What is the range?

• All real numbers from 0 to 30

• All multiples of 30 less than or equal to 300

• All whole numbers from 0 to 30

• All multiples of 30 greater than or equal to 0

Clayton teaches martial arts. He is planning to lead a self-defense seminar at his local community center. Students can sign up in advance for a price of $8. Clayton will run the seminar as long as at least 10 students sign up. He will close registration at 100 students due to space restrictions at the community center. The function C(t) represents the amount of money Clayton will earn, in dollars, for teaching the seminar to t students.

What is the domain?

• All real numbers from 8 to 100

• All whole numbers less than or equal to 10

• All real numbers greater than or equal to 8

• All whole numbers from 10 to 100

Tyler tutors at a neighborhood community center after school. He charges $20 for an hour-long tutoring session. The function P(t) represents the total amount, in dollars, that Tyler earns for providing t tutoring sessions.

What is the range?

• 
  All integers greater than or equal to 0

• All real numbers greater than or equal to 20

• All multiples of 20 greater than or equal to 0

• All whole numbers greater than or equal to 20

A large passenger airplane is making the 9,537-mile trip from New York to Singapore. During this flight, the plane will use 47,685 gallons of fuel, or 5 gallons per mile of flight. The function F(d) represents the amount of fuel, in gallons, consumed by the airplane on this trip after d miles of flight.

What is the domain?

• All real numbers from 0 to 9,537

• All whole numbers from 0 to 9,537

• All whole numbers from 0 to 47,685

• All real numbers from 0 to 47,685

John works for Gabe's Pizza Place as a delivery drive. In addition to his hourly wage, he earns $2 per delivery. The function C(d) represents the amount john has earned on top of his hourly wage for completing d pizza deliveries.

What is the range?

• All whole numbers

• All real numbers from 0 to 10

• All multiples of 2 greater than or equal to 0

• All multiples of 2 from 0 to 200

Kinsley is helping her parents to build a wooden deck behind her home. she is taking a trip to the hardware store to purchase some supplies. The nails she needs come in boxes of 150, and she has enough money to purchase up to 12 boxes. The function N(b) represents the number of nails Kinsley will have if she purchases b boxes.

What is the domain?

• All whole numbers from 0 to 150

• All whole numbers from 0 to 12

• All whole numbers greater than or equal to 12

• All whole numbers greater than or equal to 150

Abdul downloaded the latest Red Rocket Racers video game to his computer. At a rate of 0.5 gigabytes per minute, the 35-gigabyte game took 70 minutes to download. The function G(t) represents the number of gigabytes downloaded in t minutes.

What is the domain?

• All real numbers from 0 to 70

• All whole numbers from 0 to 70

• All whole numbers from 0 to 35

• All real numbers from 0 to 35

Kendra is flying her drone at an altitude of 300 feet when she decides it's time to bring it down. The drone descends at a rate of 10 feet per second and takes 30 seconds to land. The function A(t) represents the altitude, in feet, of Kendra's drone t seconds after she begins to bring it down.

What is the range?

• All integers less than or equal to 300

• All whole numbers from 0 to 300

• All real numbers from 0 to 300

• All multiples of 10 less than or equal to 300