Identifying Constant Coefficients in Real-Life Scenarios

A car rental company charges a flat fee of $50 plus $20 for each day the car is rented. If a customer rents a car for x days, write the equation for the total cost and identify the constant coefficient.

• C = 50 + 20x; constant coefficient = 50

• C = 50 + 10x; constant coefficient = 10

• C = 50 + 20x; constant coefficient = 20

• C = 30 + 20x; constant coefficient = 30

A gym charges a monthly membership fee of $30 plus $10 for each fitness class attended. If a member attends y classes in a month, express the total cost as an equation and find the constant coefficient.

• $20

• $50

• 30

• $40

A bakery sells cupcakes for $3 each and has a daily overhead cost of $50. Write an equation for the total revenue generated from selling x cupcakes and identify the constant coefficient.

• R = 3x - 50; constant coefficient = -50

• R = 3x; constant coefficient = 0

• R = 50 + 3x; constant coefficient = 50

• R = 3x + 50; constant coefficient = 3

A phone plan costs $25 per month plus $0.10 for each minute used. If a customer uses m minutes in a month, write the equation for the total bill and identify the constant coefficient.

• Total Bill = 25 + 0.05 * m; Constant Coefficient = 25

• Total Bill = 25 + 0.10 * m; Constant Coefficient = 25

• Total Bill = 25 * m + 0.10; Constant Coefficient = 0.10

• Total Bill = 0.10 + 25 * m; Constant Coefficient = 0.10

A delivery service charges a base fee of $15 plus $5 for each package delivered. If a customer has p packages to deliver, express the total cost as an equation and identify the constant coefficient.

• C = 10 + 5p; constant coefficient is 10.

• C = 20 + 5p; constant coefficient is 20.

• C = 15 + 10p; constant coefficient is 15.

• C = 15 + 5p; constant coefficient is 15.

A school charges a registration fee of $100 plus $15 for each class taken. If a student enrolls in c classes, write the equation for the total cost and identify the constant coefficient.

• Total Cost = 100 + 20c; Constant coefficient = 100

• Total Cost = 150 + 15c; Constant coefficient = 150

• Total Cost = 100 + 15c; Constant coefficient = 100

• Total Cost = 100 + 10c; Constant coefficient = 10

A landscaping company charges a flat rate of $200 for a service plus $50 for each additional hour worked. If the service takes h hours, express the total cost as an equation and identify the constant coefficient.

• Total Cost = 200 + 50h; Constant coefficient = 200

• Total Cost = 200h + 50; Constant coefficient = 50

• Total Cost = 200 + 75h; Constant coefficient = 200

• Total Cost = 150 + 50h; Constant coefficient = 150

A subscription box service charges $20 per month plus $5 for each item included in the box. If a customer receives i items, write the equation for the total cost and identify the constant coefficient.

• Total Cost = 15 + 5i; Constant coefficient = 15

• Total Cost = 20 + 5i; Constant coefficient = 20

• Total Cost = 25 + 5i; Constant coefficient = 25

• Total Cost = 20 + 10i; Constant coefficient = 10

A concert venue charges a rental fee of $500 plus $10 for each ticket sold. If a concert sells t tickets, express the total revenue as an equation and identify the constant coefficient.

• R = 10 + 500t; constant coefficient = 10

• R = 500 + 5t; constant coefficient = 500

• R = 500 + 10t; constant coefficient = 500

• R = 500t + 10; constant coefficient = 10

A tutoring service charges a fee of $40 per session plus a one-time registration fee of $20. If a student attends s sessions, write the equation for the total cost and identify the constant coefficient.

• C = 40s + 10; constant coefficient is 10

• C = 30s + 20; constant coefficient is 30

• C = 50s + 20; constant coefficient is 50

• C = 40s + 20; constant coefficient is 20