Rates, Ratios and Proportional Relationships

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 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.

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

Simplify the complex fraction:

 $\frac{\frac{1}{4}}{\frac{1}{2}}$  

•  $\frac{1}{8}$  

•  $\frac{2}{1}=2$  

•  $\frac{2}{4}=\frac{1}{2}$  

•  $\frac{4}{1}=4$  

Simplify:

 $\frac{1\frac{1}{2}}{\frac{3}{4}}$  

•  $\frac{9}{8}=1\frac{1}{8}$  

•  $\frac{6}{12}=\frac{1}{2}$  

•  $\frac{12}{6}=2$  

•  $\frac{3}{2}=1\frac{1}{2}$  

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?

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 represent a proportional relationship? SELECT ALL THAT APPLY

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