Linear Functions and Graphing: Real-World Applications

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 the equation?

• $50

• 1.00

• 0.10

• 0.20

Tags

CCSS.HSF.LE.B.5

If you graph the equation from the previous problem, what would be the y-intercept? Explain its meaning in the context of the problem.

• The y-intercept is the value of y when x = 0.

• The y-intercept is the point where the line crosses the x-axis.

• The y-intercept is the slope of the line.

• The y-intercept is the value of x when y = 0.

A local gym charges a monthly membership fee of $30 plus $5 for each class attended. Write the linear equation for the total cost (C) based on the number of classes (c) attended. What is the slope?

• C = 30 + 5c; slope = 5

• C = 30 + 10c; slope = 10

• C = 25 + 5c; slope = 5

• C = 30 + 2c; slope = 2

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Using the equation from the previous problem, graph the total cost for attending 0 to 10 classes. What does the graph look like?

• The graph is a straight line increasing from (0, 50) to (10, 150).

• The graph is a curve starting at (0, 0) and ending at (10, 100).

• The graph is a zigzag line fluctuating between (0, 50) and (10, 200).

• The graph is a horizontal line at (0, 50) for all classes.

Tags

CCSS.8.EE.B.5

A store sells notebooks for $2 each and pens for $1 each. If you buy a total of 10 items for $16, write a system of linear equations to represent the situation. How would you graph this system?

• x + y = 10; 2x + y = 14

• x + y = 10; 2x + y = 16

• x + y = 8; 2x + y = 18

• x + y = 12; 2x + y = 14

Tags

CCSS.8.EE.C.8C

A taxi charges a base fare of $3 plus $1.50 per mile. Write a linear equation for the total fare (F) based on the number of miles (m) driven. What does the slope represent?

• F = 1.50m; the slope represents the distance traveled.

• F = 3m + 1.50; the slope represents the total fare.

• F = 3 + 1.50m; the slope represents the cost per mile.

• F = 1.50 + 3m; the slope represents the base fare.

If you were to graph the equation from the previous problem, what would the graph look like? Describe the key features of the graph.

• The graph would be a circle centered at the origin.

• The graph would show a straight line with no curvature.

• The graph would depict a hyperbola opening sideways.

• The graph would show a parabola opening upwards with a vertex at the minimum point, intersecting the y-axis at the y-intercept, and having a symmetrical shape about the axis of symmetry.

Tags

CCSS.HSF-IF.C.7A

A gardener is planting flowers in a straight line. If he plants 5 flowers every hour, write a linear equation to represent the total number of flowers (F) planted after h hours. What is the y-intercept?

• F = 10h; y-intercept = 5

• F = 5h; y-intercept = 0

• F = 5h + 2; y-intercept = 2

• F = 3h; y-intercept = 3

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2