Real-Life Function Modeling: Translate & Graph Scenarios

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, as a function of miles driven, m. What is the domain of this function?

• m >= 0

• m = 50

• m < 0

• m <= 100

If a student studies for x hours, their score on a test can be modeled by the function S(x) = 10x + 50. What is the range of this function if x is limited to 0 to 5 hours?

• [50, 100]

• [0, 50]

• [100, 150]

• [50, 75]

A bakery sells cupcakes for $3 each. Write a function, C(n), to represent the total cost of n cupcakes. What is the domain of this function?

• n >= 0, where n is an integer

• n < 0, where n is a real number

• n is any negative integer

• n must be a prime number

A swimming pool is filled at a rate of 2 gallons per minute. Write a function, V(t), to represent the volume of water in the pool after t minutes. What is the range of this function if the pool can hold a maximum of 500 gallons?

• [0, 250]

• [0, 500]

• [0, 1000]

• [250, 500]

A local gym charges a monthly fee of $30 plus $5 for each class attended. Write a function to represent the total cost, T(c), as a function of the number of classes attended, c. What is the domain of this function?

• c < 0, where c is a negative integer

• c is any real number

• c >= 0, where c is a non-negative integer

• c must be an integer greater than 10

A farmer sells apples for $1.50 each. If the number of apples sold is represented by the function A(x) = 1.5x, what is the range of this function if x can be any non-negative integer?

• {0, 1, 2, 3, ...}

• {1.5, 3.0, 4.5, 6.0, ...}

• {1, 2, 3, 4, ...}

• {0, 1.5, 3.0, 4.5, ...}

A taxi charges a base fare of $2.50 plus $1.50 per mile. Write a function, F(m), to represent the fare based on miles driven. What is the domain of this function?

• m >= 0

• m < 0

• m = 1

• m <= 10

A concert hall has a seating capacity of 200 people. If the number of tickets sold is represented by the function T(x) = x, what is the range of this function if x represents the number of tickets sold?

• [0, 100]

• [0, 200]

• [50, 250]

• [-10, 200]

A phone plan costs $25 per month plus $0.10 per text message. Write a function, P(t), to represent the total cost based on the number of text messages sent, t. What is the domain of this function?

• t must be an even integer

• t >= 0, where t is a non-negative integer

• t is any real number

• t < 0, where t is a negative integer

A bookstore sells novels for $12 each. If the total cost is represented by the function C(n) = 12n, what is the range of this function if n is a non-negative integer?

• {0, 1, 2, 3, ...}

• {12, 24, 36, 48, ...}

• {0, 12, 24, 36, ...}

• {5, 10, 15, 20, ...}