Word Problems Domain & Range

Hector’s service club is raising money by wrapping presents in the mall. The function f(x) = 3x describes the amount of money, in dollars, the club will earn for wrapping x presents. They only have enough wrapping paper to wrap 1000 presents. What is an appropriate domain?

• {0,1000}

• (1000, $\infty$  )

• [0,1000]

• (- $\infty$  ,3000)

Hector’s service club is raising money by wrapping presents in the mall. The function f(x) = 3x describes the amount of money, in dollars, the club will earn for wrapping x presents. They only have enough wrapping paper to wrap 1000 presents. What is an appropriate range?

• (- $\infty$ ,3000]

• [3000, $\infty$ )

• [0, $\infty$ )

• [0,3000]

Before a bowler rolls her first ball, 10 pins are standing. The number of pins left standing is a function of the number of pins she knocks down. What is the range of the function?

• { 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 }

• { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 }

• [0,10]

• [1,10]

A boy has 7 stamps. The number of letters he can mail is a function of the number of stamps he has. Which option best describes the domain of the function?

• [0, $\infty$ )

• (- $\infty$ ,0]

• [0,7]

• { 0,1, 2, 3, 4, 5, 6, 7 }

Leslie's car travels about 25 miles per gallon of gas. Her car needs 14 gallons of gas to be full. What is a reasonable domain?

• (- $\infty$ ,0]

• [0,25]

• (- $\infty$ ,14]

• [0,14]

Leslie's car travels about 25 miles per gallon of gas. Her car needs 14 gallons of gas to be full. What is a reasonable range?

• (- $\infty$ ,0]

• [0,350]

• (- $\infty$ ,350]

• (0,350)

A holiday church's 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 in the church, 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, 92.50, 105, 117.50, ....}

• None of the above.

Priya streams movies through a company that charges her a $5 monthly fee plus $1.50 per movie What is the dependent variable?

• the number of movies she rents
• the company that she rents from
• the money it costs
• There isn't one

A food service worker earns $12 per hour. How much money, m, does the worker earn on a shift of h hours? Identify the dependent variable.

• money
• hours

A taxi charges a fixed fee plus a charge per mile (x = miles). The total cost can be calculated with the equation:

f(x) = 2.75x + 4.25

What does 2.75 represent?

• The total cost of the fixed fee plus charge per mile

• The charge per mile

• Miles

• The fixed fee

• Karma

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