Translating Word Problems: Understanding Function Variables

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. If the total cost is represented by the function C(m) = 50 + 0.20m, what does 'm' represent in this context?

• m represents the flat fee charged by the company.

• m represents the number of miles driven.

• m represents the total cost of the rental.

• m represents the number of days the car is rented.

A bakery sells cupcakes for $3 each. The total revenue from selling 'x' cupcakes is represented by the function R(x) = 3x. What does 'R(x)' signify?

• R(x) indicates the number of cupcakes sold.

• R(x) is the profit made from selling 'x' cupcakes.

• R(x) represents the cost of producing 'x' cupcakes.

• R(x) signifies the total revenue from selling 'x' cupcakes.

A gym charges a monthly fee of $30 plus $5 for each class attended. If the total cost is represented by the function T(c) = 30 + 5c, what does 'c' represent?

• The number of classes attended.

• The number of months subscribed.

• The monthly fee without classes.

• The total cost of the gym membership.

A phone plan costs $40 per month plus $0.10 for each text message sent. If the total cost is represented by the function P(t) = 40 + 0.10t, what does 't' stand for?

• The number of calls made.

• The total cost of the phone plan.

• The monthly fee without texts.

• The number of text messages sent.

A farmer sells apples for $2 per pound. The total income from selling 'p' pounds of apples is represented by the function I(p) = 2p. What does 'I(p)' indicate?

• I(p) indicates the total income from selling 'p' pounds of apples.

• I(p) represents the weight of apples sold.

• I(p) indicates the price per pound of apples.

• I(p) shows the total number of apples sold.

A subscription service charges $15 per month. If 'm' represents the number of months subscribed, how would you express the total cost using function notation?

• C(m) = 30m

• C(m) = 15m

• C(m) = m + 15

• C(m) = 15 + m

A school charges $100 for a field trip plus $10 for each student attending. If the total cost is represented by the function F(s) = 100 + 10s, what does 's' represent?

• The total cost of the field trip.

• The duration of the field trip in hours.

• The number of students attending the field trip.

• The number of teachers supervising the trip.

A concert ticket costs $50, and there is a service fee of $5. If the total cost is represented by the function C(n) = 50n + 5, what does 'n' represent?

• The price of a single concert ticket without fees.

• The total cost of the concert ticket and service fee.

• The number of concert tickets being purchased.

• The number of people attending the concert.

A delivery service charges a base fee of $10 plus $2 for each mile driven. If the total charge is represented by the function D(m) = 10 + 2m, what does 'm' represent?

• The number of miles driven.

• The base fee charged by the service.

• The total cost of the delivery.

• The time taken for the delivery.

A library fines $0.25 per day for overdue books. If 'd' represents the number of days a book is overdue, how would you express the total fine using function notation?

• F(d) = 0.25 / d

• F(d) = 0.25 + d

• F(d) = d + 0.25

• F(d) = 0.25 * d