Proportional and Non-Proportional Relationship

What is a proportional relationship?

• A proportional relationship is when x=0 and y=0
• A proportional relationship is when the slope passes through the origin.
• A proportional relationship is in the form of y=mx.
• All of the above

What is a non-proportional relationship?

• A non-proportional relationship is when x=0 and y= 0
• A non-proportional relationship is when the slope passes through the origin.
• A non-proportional relationship is in the form of y=mx+b
• A non-proportional relationship does NOT have a fee.

Which of the situations below represents a non-proportional relationship?

• total distance traveled and number of hours traveled, if John drove his car at a constant rate of 60 miles per hour for 2 hours
• total earnings and number of hours spent babysitting, if Carrie babysat for 4 hours at a rate of $8 per hour
• total fees charged and number of carpeted rooms cleaned, if a carpet cleaning company charges $40 for the first room and $25 for each additional room
• total savings and number of weeks spent saving, if Jeremy saved $10 each week for 6 weeks

What is the y-intercept for the following table and is it proportional or non-proportional?

• Proportional, y-intercept is 0
• Non-proportional, y-intercept is 0
• Proportional, slope is 0
• Non-proportional, slope is 0

Stella got a new internet plan.  The company charges her $0.15 for each minute plus a monthly fee of $40.  What equation would be used to calculate how much the cost is for her new internet plan?

• y=0.15x-40
• y=0.15x+40
• y=0.15-40x
• y=0.15+40x

Which best describes the graph?
y = 75x

• Proportional
• Nonproportional

Mama Mia’s Pizza sells medium pizza for $7 each and charges a $2 delivery fee per order. Which describes this relationship?

• a non-proportional function with a y-intercept of 2
• a non-proportional function with a y-intercept of 7
• a proportional function with a y-intercept of 2
• a proportional function with a y-intercept of 7 

Which best describes this graph?
y= 3.75x + 2

• Proportional 
• Non-proportional

What is the y-intercept for the following graph and is it proportional or non-proportional?

• Proportional, y intercept =1
• Proportional, y intercept = -2
• Non-proportional, rate of change = 1
• Non-proportional, y intercept =1

Shawn makes $7.50 an hour to babysit for her next door neighbors.  Describe the graph of this relationship.

• Proportional
• Non-proportional