Question
Which one of the following ordered pairs is an example of unit rate?
(2, r) where r = 4
(1, r) where r = 5
(3, r) where r = 6
(4, r) where r = 8
(2, r) where r = 4
(1, r) where r = 5
(3, r) where r = 6
(4, r) where r = 8
Answers
GPT-4o mini
A unit rate compares a quantity to one unit of another quantity. To determine which of the given ordered pairs represents a unit rate, we need to check if the first element of the pair is 1, as a unit rate is expressed as a quantity per 1 unit of another quantity.
Let's analyze the ordered pairs:
1. (2, r) where r = 4: This represents a ratio of 4 to 2, which simplifies to 2 (4/2 = 2). This is not a unit rate.
2. (1, r) where r = 5: This represents a ratio of 5 to 1, which is already a unit rate. (5/1 = 5).
3. (3, r) where r = 6: This represents a ratio of 6 to 3, which simplifies to 2 (6/3 = 2). This is not a unit rate.
4. (4, r) where r = 8: This represents a ratio of 8 to 4, which simplifies to 2 (8/4 = 2). This is not a unit rate.
The only ordered pair that represents a unit rate is:
**(1, r) where r = 5**.
Let's analyze the ordered pairs:
1. (2, r) where r = 4: This represents a ratio of 4 to 2, which simplifies to 2 (4/2 = 2). This is not a unit rate.
2. (1, r) where r = 5: This represents a ratio of 5 to 1, which is already a unit rate. (5/1 = 5).
3. (3, r) where r = 6: This represents a ratio of 6 to 3, which simplifies to 2 (6/3 = 2). This is not a unit rate.
4. (4, r) where r = 8: This represents a ratio of 8 to 4, which simplifies to 2 (8/4 = 2). This is not a unit rate.
The only ordered pair that represents a unit rate is:
**(1, r) where r = 5**.