Ratios Proportional Relationships Unit Rates

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.

Mikey is swimming a relay race. Here are his stats:

50 meters in 10 seconds
150 meters in 30 seconds
300 meters in 60 seconds

Is this a proportional relationship? If so, find the constant of proportionality?

• Not a proportional relationship; no constant

• It is a proportional relationship; no constant

• It is a proportional relationship; the constant is 5 meters every 1 second.

• Not a proportional relationship; the constant is 50 meters every 10 seconds.

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.

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 order a pizza online is $5 per pizza plus a $3 delivery fee. That means that it will cost $8 to get 1 pizza delivered, $13 to get 2 pizzas delivered, and $18 to get 3 pizzas delivered. Does this show a proportional relationship?

• Yes

• No

Which of the following represent a proportional relationship? SELECT ALL THAT APPLY

• 
• 
• 
• 

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.

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.

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