Comparing Scenarios for Slope

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 line is the steepest?

• 1st

• 2nd

• 3rd

• All are the same steepness

Which line has the steepest slope?

• Red line

• Blue line

• Both have the same slope.

D. Line 4 has a slope of 1/2. Line 1 has a slope of -1. Of these two lines, which is steeper? How can you tell from the given slopes?

|-1| _ |1/2|

Mathematical Equivalence

ON

Equation A:   y = 2x + 3
Equation B:   y = 3x - 3
Which equation has a higher slope? 

• Equation A

• Equation B

• They have the same slope

Which line is the steepest?

• 1st

• 2nd

• 3rd

• They are all the same steepness

D. Line 4 has a slope of 1/2. Line 1 has a slope of -1. Of these two lines, which is steeper? How can you tell from the given slopes?

|-1| _ |1/2|

Mathematical Equivalence

ON