Solving Linear Word Problems and Graphing Equations

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). What is the slope of this equation?

• 0.20

• 0.50

• 1.00

• 0.10

If a line passes through the points (2, 3) and (4, 7), what is the slope of the line? Graph the line using these points.

• 4

• 3

• 1

• 2

A gardener is planting flowers in a straight row. If the first flower is planted at the coordinate (1, 2) and the second at (3, 6), what is the slope of the line that connects these two flowers?

• 2

• 3

• 1

• 4

A school is planning a field trip. The cost per student is $15, and there is a fixed cost of $200 for the bus. Write a linear equation for the total cost (C) based on the number of students (s). What does the slope represent in this context?

• C = 20s + 150; the slope represents the bus cost.

• C = 10s + 200; the slope represents the total cost.

• C = 15s + 200; the slope represents the cost per additional student.

• C = 15s; the slope represents the fixed cost.

A bike rental shop charges a one-time fee of $10 and $5 for each hour rented. If you graph the total cost (C) against the number of hours (h), what is the slope of the line?

• 10

• 5

• 15

• 2

A train travels at a constant speed of 60 miles per hour. Write a linear equation that represents the distance (d) traveled in terms of time (t) in hours. What is the slope of this equation?

• d = 60t + 10; slope = 60

• d = 30t; slope = 30

• d = 60t; slope = 60

• d = 45t; slope = 45

A store sells notebooks for $2 each and pens for $1 each. If you buy x notebooks and y pens, write a linear equation for the total cost (C). What does the slope of this equation indicate?

• C = 2x + 3y; slope = 3

• C = 3x + 1y; slope = 3

• C = 2x + 1y; slope = 2

• C = 2x + 2y; slope = 2

A swimming pool is being filled at a rate of 10 gallons per minute. If the pool starts empty, write a linear equation for the volume of water (V) in the pool after t minutes. What is the slope of this equation?

• V = 10t; slope = 10

• V = 15t; slope = 15

• V = 10t + 20; slope = 10

• V = 5t; slope = 5

A taxi company charges a base fare of $3 plus $2 for every mile driven. Write a linear equation for the total fare (F) based on the number of miles (m). What does the slope represent?

• F = 2m; the slope represents the distance traveled.

• F = 3m + 2; the slope represents the total fare.

• F = 3 + 2m; the slope represents the cost per mile.

• F = 2 + 3m; the slope represents the base fare.

A delivery service charges a flat fee of $5 plus $1.50 for each package delivered. If you graph the total cost (C) against the number of packages (p), what is the slope of the line?

• $5

• 1.50

• $2.50

• $1