Lesson 08: Linear Functions | Unit 5: Functions and Volume

Multiple Choice

Two cars drive on the same highway in the same direction. The graphs show the distance, $$d$$ , of each car as a function of time, $$t$$ . Which car drives faster?

• Car C
• Car B

Open Ended

Explain how you know which car drives faster based on the graph.

Open Ended

For Service B, is the additional charge per mile greater or less than 30 cents per mile of the trip? Explain your reasoning.

Multiple Choice

Kiran and Clare like to race each other home from school. They run at the same speed, but Kiran’s house is slightly closer to school than Clare’s house is. On a graph, their distances (in meters) from their homes is a function of the time (in seconds) from when they begin the race. As you read the graphs left to right, would the lines go up or down?

• The lines would zigzag.
• The lines would go down.

Multiple Choice

Kiran and Clare like to race each other home from school. They run at the same speed, but Kiran’s house is slightly closer to school than Clare’s house is. On a graph, their distances (in meters) from their homes is a function of the time (in seconds) from when they begin the race. What is different about the lines representing Kiran’s run and Clare’s run?

• Kiran's line is steeper than Clare's line.
• Kiran's line is the same as Clare's line.
• Kiran's line is higher on the graph than Clare's line.
• Kiran's line is lower on the graph than Clare's line.

Multiple Choice

Kiran and Clare like to race each other home from school. They run at the same speed, but Kiran’s house is slightly closer to school than Clare’s house is. On a graph, their distances (in meters) from their homes is a function of the time (in seconds) from when they begin the race. What is the same about the lines representing Kiran’s run and Clare’s run?

• The lines have different slopes.
• The lines have the same slope.
• The lines intersect at some point.
• The lines represent different speeds.

Multiple Choice

Which student was faster at puzzle solving before practice?

• m
• p

Multiple Choice

Which two quantities in a bread recipe are in a functional relationship?

• Amount of flour and amount of water
• Amount of butter and oven temperature
• Amount of yeast and baking time
• Amount of sugar and amount of salt

Multiple Choice

A recipe for bread calls for 1 teaspoon of yeast for every 2 cups of flour. Which equation represents this function?

• y = 2f
• y = f + 1
• y = 0.25f
• y = 0.5f

Draw

A recipe for bread calls for 1 teaspoon of yeast for every 2 cups of flour. Draw the graph of the function. Label at least two points with input-output pairs.