Proportionality: Ratios and Rates

Does this graph show a direct variation? If so, what is the constant of variation?

• Yes; the constant is $4 for every 12 apples.

• Yes; the constant is $3 for every 1 apple.

• No; no direct variation means there is no constant.

• No; the constant is $12 for every 4 apples.

Which of the following statements is true? SELECT ALL THAT APPLY

• The constant is 60 miles for every 1 hour.

• This demonstrates a direct variation between distance traveled and time.

• This demonstrates a proportional relationship.

• The graph shows that in 4 hours, 240 miles have been traveled.

• The graph shows that in 180 hours, 3 miles have been traveled.

Which of the following statements is true? SELECT ALL THAT APPLY

• The constant is $10 for every 1 picture.

• This is not a proportional relationship.

• This has a direct variation between pictures taken and the cost.

• There is no constant in this graph.

• There is no direct variation in this graph.

What is the unit rate if there are 1,760 Calories in 8 servings?

Which size yogurt has the best price per ounce?

• 6 oz

• 8 oz

• 10 oz

• 32 oz

The cost to rent a bike at Tropical Park is $25 for 1 hour. If the cost to rent a bike for 2 hours is $50 and the cost to rent a bike for 3 hours is $75, which of the following statements are true? SELECT ALL THAT APPLY

• The example shows a proportional relationship.

• The example shows a non-proportional relationship.

• The constant is $25 per 1 hour.

• The example shows a direct variation between the cost and hours to rent a bike.

What makes a graph proportional? SELECT ALL THE APPLY

• Has to be a straight line.

• As long as there is some kind of line, it is proportional.

• Has to cross through the origin (0, 0).

• Has to start from the negative side and move up to the positive side.

Is the relationship of this graph proportional or non-proportional?

What is the constant of proportionality?

y = 14x

What is the constant of proportionality?

9y = 72x