Characteristics of Linear Functions

The cost of Nate’s service is described by y = 4x + 6. The table shows the cost of Beth’s service. Find the equation for Beth's service.  Which service is cheaper for 8 movies in one month?

• Beth's service ($38 vs. $40) is cheaper
• Nate’s service ($42 vs. $44) is cheaper
• Nate’s service ($38 vs. $40) is cheaper
• Beth's service ($42 vs. $44) is cheaper

Who has the greater rate of change?

• CJ has a greater rate of change with 13/2
• Holland has a greater rate of change with 6
• CJ has a greater rate of change with 2/13
• They have the same rate of change.

Who has the greater rate of change?

• Tyler has the greater rate of change with 2/3
• Aubri has the greater rate of change with 3/2
• Tyler has the greater rate of change with 3/2
• They have the same rate of change.

Who has the greater rate of change?

• Smith has the greater rate of change with 5/4
• Harmon has the greater rate of change with 7/2
• Smith has the greater rate of change with 4/5
• They have the same rate of change.

Who has the greater rate of change?

• Smith has the greater rate of change.
• Harmon has the greater rate of change.
• Macey has the greater rate of change.
• They have the same rate of change

What type of slope does the graph have?

• Zero
• Undefined
• Negative
• Positive

find the rate of change

• 3/2
• -3/2
• (-0,-3)
• none of the above

Rich is a member of a gym. He pays a monthly fee plus a per-visit fee. The equation below represents the monthly amount Rich pays for his membership to the gym per month for x visits.
y=3x+10
What does the y-intercept of the graph of this equation represent?

• The monthly fee
• How much Rich pays per visit
• The number of times Rich goes to the gym
• The total cost at the end of the month

Charlie rented a moving truck. He paid a daily fee plus a per-mile fee to rent the truck. The equation below represents the daily amount Charlie paid for the truck if he drives it x miles.
y=0.5x+10
What does the slope of the graph of this equation represent?

• The daily fee for the moving truck
• The per-mile fee for the moving truck
• How much Charlie paid for the truck
• The number of miles he drove

Which company shows a greater rate of change?

• Water's Edge Rafts
• Ryan's Rafts