Function Scenarios: Domains & Ranges in Real Life

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. Write a function to represent the total cost, C, in terms of miles driven, m. What is the domain of this function?

• m >= 0

• m <= 100

• m = 50

• m < 0

A local gym charges a monthly membership fee of $30 and an additional $5 for each class attended. If x represents the number of classes attended, write a function for the total cost, T. What is the range of this function if a member attends between 0 and 10 classes?

• [0, 50]

• [35, 75]

• [30, 100]

• [30, 80]

A farmer sells apples for $2 each. If the number of apples sold is represented by n, write a function for the total revenue, R. What is the domain of this function?

• R(n) = 2n + 1; Domain: n > 0

• R(n) = 3n; Domain: n >= 1

• R(n) = n; Domain: n < 0

• R(n) = 2n; Domain: n >= 0

A movie theater has a ticket price of $12 per person. If p represents the number of people attending, write a function for the total ticket sales, S. What is the range of this function if the maximum number of attendees is 200?

• [0, 1200]

• [0, 3000]

• [0, 2000]

• [0, 2400]

A delivery service charges a base fee of $15 plus $1.50 per mile. Write a function to represent the total charge, C, in terms of miles driven, m. What is the domain of this function?

• m = 0

• m >= 0

• m <= 10

• m < 0

A school is organizing a field trip and charges $10 per student. If s represents the number of students, write a function for the total cost, C. What is the range of this function if there are between 1 and 50 students?

• [10, 500]

• [5, 250]

• [20, 600]

• [0, 100]

A subscription service charges $5 per month. If m represents the number of months, write a function for the total cost, C. What is the domain of this function?

• The domain of the function is {m | m ∈ ℕ₀} (non-negative integers).

• The domain of the function is {m | m ∈ ℝ} (all real numbers).

• The domain of the function is {m | m < 0} (negative integers).

• The domain of the function is {m | m ∈ ℤ} (all integers).

A concert venue has a seating capacity of 500. If each ticket costs $25, write a function for the total revenue, R, in terms of tickets sold, t. What is the range of this function?

• 0 <= R <= 10000

• 0 <= R <= 2000

• 0 <= R <= 12500

• 0 <= R <= 15000

A bakery sells cupcakes for $3 each. If c represents the number of cupcakes sold, write a function for the total sales, S. What is the domain of this function?

• The domain of the function is {c | c < 0, c ∈ Z}.

• The domain of the function is {c | c >= 0, c ∈ Z}.

• The domain of the function is {c | c ∈ R}.

• The domain of the function is {c | c >= 1, c ∈ Z}.

A taxi service charges a flat fee of $3 plus $2 per mile. Write a function to represent the total fare, F, in terms of miles driven, d. What is the range of this function if the maximum distance is 15 miles?

• [3, 20]

• [5, 25]

• [3, 33]

• [0, 30]