A rate is a ratio comparison between two quantities measured in different units.

Question

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1 point
true
false
2. 10 puppies and 12 kittens are being given away. What is the ratio of kittens to puppies that are being given away?
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1 point
10:12
5:6
12:10
6:11
3. Layla and Michael both stayed after school for help on their math homework. Layla stayed for 15 minutes and Michael stayed for 50 minutes. Write a ratio to represent the relationships between the time that Layla stayed for help and the time that Michael stayed for help. Select all that apply.
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3 points
15 to 50
50 to 15
3:10
15:50
1 to 5
4. Amber walked 12 miles in 3 hours. What is her unit rate in miles per hour?
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1 point
4 miles per hour
9 miles per hour
15 miles per hour
36 miles per hour
5. Which of the following represent a unit rate? Select all that apply.
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3 points
$5/2 sandwiches
70 miles/1 hour
80 words per minute
18 ounces in 1 serving
$1.25 for 5 donuts
6. What is 15 meters in 3 minutes as a unit rate?
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1 point
5 meters per minute
10 meters per minute
12 meters per minute
15 meters per 3 minutes
7. Emma made 8 out of 24 free throws. Jason made 5 out of 20 free throws. Who has the highest free throw ratio?
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1 point
Emma
Jason

Answer 1

Here are the answers to your questions:

1. True - A rate is indeed a ratio comparison between two quantities measured in different units.

2. The ratio of kittens to puppies is 12:10, but in simplest form, it can be expressed as 6:5. However, none of your options directly match this simplest form. The closest provided option is 12:10.

3. Ratios that apply to the time Layla and Michael stayed for help include:

   • 15 to 50
   • 15:50
   • 1 to 5

Note that "50 to 15" could also technically represent the ratio of Michael's time to Layla's time but does not represent their relationship as asked.

4. Amber's unit rate in miles per hour is 4 miles per hour (12 miles / 3 hours = 4 miles per hour).

5. The following represent a unit rate:

   • 70 miles/1 hour
   • 80 words per minute
   • 18 ounces in 1 serving

(Note: $5/2 sandwiches represents a rate, but it does not have a consistent unit across both quantities, while $1.25 for 5 donuts does not represent a unit rate but rather a price for multiple items; hence it’s excluded.)

6. 15 meters in 3 minutes as a unit rate is 5 meters per minute (15 meters / 3 minutes = 5 meters per minute).

7. To determine who has the highest free throw ratio:

   • Emma's free throw ratio = 8/24 = 1/3
   • Jason's free throw ratio = 5/20 = 1/4

Since 1/3 is greater than 1/4, the answer is:

• Emma

Let me know if you need any further assistance!