Domain and Range of Real World Situations

The fuel tank of a certain airplane can hold up to 300 gallons of fuel. Let W be the total weight of the airplane (in pounds). Let F be the total amount of fuel in its tank (in galons). Suppose that W = 7F + 4000 gives W as a function of F. Identify the Domain

• weight of airplane

• amount of fuel

• set of all real numbers from 0 to 300

• the set of all real numbers from 4000 to 6100

The fuel tank of a certain airplane can hold up to 300 gallons of fuel. Let W be the total weight of the airplane (in pounds). Let F be the total amount of fuel in its tank (in galons). Suppose that W = 7F + 4000 gives W as a function of F. Identify the range

• Weight of the airplane

• amount of fuel in the airplane's tank

• set of all real numbers from 0 to 300

• set of all real numbers from 4000 to 6100

A function relates the input m to the output n = 6m + 6. Which is the dependent variable for this function?

• n

• m

Tags

CCSS.6.EE.C.9

The amount of a certain medication taken in the morning influences the amount of sleep that night. Which is the independent variable?

• Amount of sleep

• Amount of medication taken

Tags

CCSS.6.EE.C.9

Scott works at Adventure Fun Park. He notices that the daily number of tickets sold at the park varies with the daily high temperature. What is the dependent variable in this relationship?

• Daily number of tickets sold

• Daily high temperature

Tags

CCSS.HSF-LE.A.1B

A function relates the input z to the output u = -3 + 5z. Which is the independent variable for this function?

• z

• u

Tags

CCSS.6.EE.C.9

A person's muscle mass changes with age. Muscle mass increases into young adulthood and decreases after. Which is the dependent variable in this relationship?

• age

• amount of muscle mass

Tags

CCSS.6.EE.C.9

Katherin is in the business of repairing home computers. She charges a base fee of $50 for each visit and $25 per hour for her labor. She will stay for a maximum of 4 hours. The total cost c(x) for a home visit and x hours of labor is modeled by the function c(x) = 50 +25x. What is the domain?

• The amount of hours she stays

• The quantity of computers she fixes

• The amount of money she makes

• The set of all real numbers from 0 to 4.

Katherin is in the business of repairing home computers. She charges a base fee of $50 for each visit and $25 per hour for her labor. She will stay for a maximum of 4 hours. The total cost c(x) for a home visit and x hours of labor is modeled by the function c(x) = 50 +25x. What is the the range?

• The amount of money she earns

• The amount of computers she fixes

• All real numbers from 0 to 50

• All real numbers from 50 to 150

A taxi company charges $2.50 plus $1.10 for each mile driven and you only have $10 to spend. The relationship is modeled as C = 1.10x+ 2.50. What is the domain of the function?

• The set of all real numbers from 2.50 to 10.

• The set of all real numbers from 0 to 10

• The total cost of the drive

• The amount of miles driven