Comparing Rates of Change from a Graph, Equation and Table

The weight of Brandi's luggage is represented by the equation y = 40x, where y represents the weight in lbs and x represents the number of bags. The weight of Javier's luggage is represented in the graph. Compare their rates.

• Brandi's luggage weighs more because it weighs 40 lbs per bag.

• Javier's luggage weighs more because it weighs 40lbs per bag.

• Brandi's luggage weighs more because it weighs 30 lbs per bag.

• Javier's luggage weighs more because it weighs 30 lbs per bag.

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

• The rate of change of f(x) is less than the rate of change of g(x)
• The rate of change of f(x) is greater than the rate of change of g(x) 
• The y intercept of f(x) is equal to the rate of change of g(x) 
• The y intercept of f(x) is greater than the rate of change of g(x)

• How many minutes she was on the phone

• What Tara pays per minute

• How much Tara had to pay before she even made any calls

• How much Tara owes at the end of each month

Which has the greatest rate of change?

• A

• B

Which company shows a greater rate of change?

• Water's Edge Rafts

• Ryan's Rafts

Which has the greater rate of change?

• A

• B

The cost of Nate’s service is described by y = 4x + 6. The table shows the cost of Beth’s service. Compare their rates.

• Nate's service has a higher rate of $4.

• Beth's service has a higher rate of $10.

• Nate's service has a higher rate of $6.

• Beth's service has a higher rate of $5.

The cost of Patrick’s texting is described by y = 0.03x + 5. The cost of Melanie’s texting is shown in the table. Which service has a cheaper rate?

• Patrick’s service has a cheaper rate of $0.30 per text.

• Melanie's service has a cheaper rate of $0.25 per text.

• Patrick’s service has a cheaper rate of $0.03 per text.

• Melanie's service has a cheaper rate of $1.25 per text.

Who has the greater rate of change?

• CJ has a greater rate of change with 6.5

• 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.