Real-Life Linear Equations: Graphing & Problem Analysis

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. Write a linear equation to represent the total cost (C) in terms of miles driven (m). Graph the equation and determine the cost for 100 miles.

• $60

• $80

• $90

• $70

A local gym charges a monthly membership fee of $30 and an additional $5 for each class attended. Create a linear equation to represent the total cost (C) based on the number of classes (c) attended. Analyze the scenario and find the total cost if 10 classes are attended.

• 60

• 80

• 50

• 100

A school is selling tickets for a play. The tickets cost $8 each, and there is a total of $240 in ticket sales. Write a linear equation to represent the relationship between the number of tickets sold (t) and the total sales (S). Graph the equation and determine how many tickets were sold.

• 20

• 40

• 30

• 25

A gardener is planting flowers in a rectangular garden. The length of the garden is twice the width. If the total area of the garden is 200 square feet, write a linear equation to represent the relationship between length (l) and width (w). Analyze the scenario to find the dimensions of the garden.

• Length: 30 feet, Width: 15 feet

• Length: 40 feet, Width: 20 feet

• Length: 25 feet, Width: 5 feet

• Length: 20 feet, Width: 10 feet

A phone company offers a plan that costs $40 per month plus $0.10 per text message. Write a linear equation to represent the total cost (C) based on the number of text messages (t) sent. Graph the equation and find the total cost if 150 text messages are sent.

• $70

• $45

• $55

• $100

A bookstore sells notebooks for $3 each and pens for $2 each. If a student buys a total of 10 items and spends $24, write a system of linear equations to represent the situation. Analyze the equations to find out how many notebooks and pens were purchased.

• 4 notebooks and 6 pens

• 2 notebooks and 8 pens

• 3 notebooks and 7 pens

• 5 notebooks and 5 pens

A taxi charges a base fare of $2.50 plus $1.50 for each mile driven. Write a linear equation to represent the total fare (F) in terms of miles driven (m). Graph the equation and determine the fare for a 5-mile trip.

• $15.00

• $12.00

• $10.00

• $7.50

A factory produces widgets at a cost of $5 each. If the factory produces x widgets, the total cost (C) can be represented by the equation C = 5x. Analyze the scenario to find the cost of producing 50 widgets and graph the equation.

• The cost of producing 50 widgets is $150.

• The cost of producing 50 widgets is $200.

• The cost of producing 50 widgets is $300.

• The cost of producing 50 widgets is $250.

A concert venue has a seating capacity of 500. If tickets are sold for $20 each, write a linear equation to represent the total revenue (R) based on the number of tickets sold (t). Graph the equation and determine the revenue if 300 tickets are sold.

• 6000

• 7000

• 5000

• 4000

A delivery service charges a flat fee of $15 plus $0.50 per mile. Write a linear equation to represent the total charge (C) based on the distance (d) in miles. Analyze the scenario to find the total charge for a delivery of 20 miles.

• $30

• $25

• $20

• $10