Rates Ratios and Proportional Relationships

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?

A 6 oz. yogurt costs $0.89,

an 8 oz. yogurt costs $1.04,

a 10 oz. yogurt costs $1.69,

and a 32 oz. yogurt costs $4.79.

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. Which of the following statements are true? SELECT ALL THAT APPLY

• $50 to rent a bike for 2 hours

• $3 to rent a bike for 75 hours

• $75 to rent a bike for 3 hours

• $2 to rent a bike for 50 hours

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

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 there a direct variation between the meters swam and seconds it took Mikey to swim those distances?

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