Comparing Rates of Change from a Graph, Equation and Table

Which equation has a steeper slope?

• Equation A

• Equation B

• They have the same level of steepness

Which equation has a steeper slope?

• Equation A

• Equation B

• They have the same steepness, even though one is negative and one is positive

• This cannot be determined

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

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

Randy charges his tenants $400 each month to rent his houses plus $600 security deposit. In the new year, the property taxes increased on the area where he rents so as a result he must increase the rate of change by $25 to ensure his profits are not harmed. What equation best represents how much his tenants will now have to pay?

• y = 425x + 600

• y = 425 + 600x

• y = 400x + 625

• y = 400 + 625x

Janet is planning her sweet sixteen birthday party. She must decide which party coordinator she should use so that she spends the least amount of money possible. Each coordinator charges an initial fee for their services, plus an additional fee depending on the number of guests that attend the party. Each coordinator's rates are shown in the image. If Janet is planning on inviting 80 guests, which coordinator should she use?

• Coordinator A

• Coordinator B

• Coordinator C

• Coordinator D

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

What is the rate of change (slope) to rent a raft from Water's Edge Rafts?

• $6 per hour

• $5 per hour

• $1 for 6 hours

• $1 for 5 hours

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?

• 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.