Analyzing Cost Functions: Domain and Range Exploration

A gym charges a monthly fee of $40 and an additional $5 for each class attended. If a member attends y classes, express the total cost T(y) as a function. If a member attends 10 classes, what is the total cost? Determine the range of T(y).

• Total cost for 10 classes is $80.

• The range of T(y) is [0, 40).

• Total cost for 10 classes is $100.

• Total cost for 10 classes is $90. The range of T(y) is [40, ∞).

A bakery sells cupcakes for $2 each and offers a discount of $0.50 for every 12 cupcakes purchased. If a customer buys n cupcakes, write a function D(n) for the total cost after discounts. What is the domain of D(n)?

• D(n) = 2n - 0.50 * (n // 10), domain: n >= 0

• D(n) = 2n - 0.50 * (n // 12), domain: n >= 0

• D(n) = 2n - 0.50 * (n / 12), domain: n >= 1

• D(n) = 2n + 0.50 * (n // 12), domain: n > 0

A phone plan charges a flat rate of $25 per month plus $0.10 per text message sent. If a user sends m messages, express the total cost P(m) as a function. If a user sends 100 messages, what is the total cost? What is the range of P(m)?

• The total cost for 100 messages is $30.

• The range of P(m) is [0, 25].

• The total cost for 100 messages is $50.

• The total cost for 100 messages is $35. The range of P(m) is [25, ∞).

A subscription service charges $15 per month and an additional $2 for each movie rented. If a user rents r movies, write a function S(r) for the total cost. If a user rents 5 movies, what is the total cost? Determine the domain of S(r).

• 30

• 20

• 25

• 35

A landscaping company charges a flat fee of $100 for a service plus $50 for each hour worked. If the service takes h hours, express the total cost L(h) as a function. If the service takes 3 hours, what is the total cost? What is the range of L(h)?

• L(h) = 100 + 30h

• L(h) = 100 + 50h; Total cost for 3 hours is $250; Range is [100, ∞).

• Total cost for 3 hours is $200

• Range is [0, 100]

A concert ticket costs $50, and there is a service fee of $5 per ticket. If a customer buys t tickets, write a function F(t) for the total cost. If a customer buys 4 tickets, what is the total cost? Determine the domain of F(t).

• $220

• $180

• $250

• $200

A delivery service charges a base fee of $10 plus $1.50 per mile. If a delivery is d miles, express the total cost G(d) as a function. If a delivery is 20 miles, what is the total cost? What is the range of G(d)?

• Total cost for 20 miles is $25. The range of G(d) is [10, 40).

• Total cost for 20 miles is $50. The range of G(d) is [10, 20).

• Total cost for 20 miles is $30. The range of G(d) is [0, 30).

• Total cost for 20 miles is $40. The range of G(d) is [10, ∞).

A tutoring service charges $25 per hour and offers a package of 10 hours for $200. If a student uses the package and attends h hours, write a function H(h) for the total cost. If a student attends 8 hours, what is the total cost? Determine the domain of H(h).

• 200

• 300

• 150

• 100

A subscription box service charges $30 per month and includes an additional $5 for each item selected. If a customer selects i items, express the total cost J(i) as a function. If a customer selects 6 items, what is the total cost? What is the range of J(i).

• Total cost for 6 items is $60. The range of J(i) is [30, ∞).

• Total cost for 6 items is $75.

• The range of J(i) is [0, 30].

• Total cost for 6 items is $50.