Ratios, Rates and Proportional Relationships

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?

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

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 constant of proportionality?

y = 14x

What is the constant of proportionality?

9y = 72x

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

• 
• 
• 
• 

Which of the following equations demonstrate a proportional relationship? Select all that apply.

• y = x

• y = 2x + 9

• y = -5x

• y = -3x - 8

Is the given table a proportional relationship? If so, what is the constant of proportionality?

• Yes; 1/3

• Yes; 3

• Yes; 5

• No

Tori bought some butterfly feeders, and she needs to fill them before she puts them in her garden. She finds a recipe online for a sugar water mixture that will attract butterflies. The recipe says to mix 1 ounce of sugar with 9 ounces of water. Tori decides to make one large batch so she can fill all her feeders at once. In a pot, she mixes 4 ounces of sugar with 36 ounces of water. Which mixture is sweeter?

• The recipe is sweeter.

• Tori's mixture is sweeter.

• They are the same sweetness.