1.One group of children has 15 red blocks and 45 green blocks. Another group of children has 30 red blocks and 90 green blocks. Which proportion correctly describes the relative amounts of each color?(1 point)

Question

1.One group of children has 15 red blocks and 45 green blocks. Another group of children has 30 red blocks and 90 green blocks. Which proportion correctly describes the relative amounts of each color?(1 point)

Responses

15/45
Start Fraction 15 over 45 End Fraction

15/45 = 30/90
Start Fraction 15 over 45 End Fraction equals Start Fraction 30 over 90 End Fraction

15/45 = 90/30
Start Fraction 15 over 45 End Fraction equals Start Fraction 90 over 30 End Fraction

1/3
2. About 4,000 new species of marine animals were discovered in the last 2 years. What is the unit rate of discovery?(1 point)
Responses

1 species2,000 years
Start Fraction 1 species over 2,000 years End Fraction

2,000 speciesyear
Start Fraction 2,000 species over year End Fraction

4,000 species2 years
Start Fraction 4,000 species over 2 years End Fraction

2 years4,000 species

Answer 1

Start Fraction 2 years over 4,000 species End Fraction

Answer 2

1.One group of children has 15 red blocks and 45 green blocks. Another group of children has 30 red blocks and 90 green blocks. Which proportion correctly describes the relative amounts of each color?(1 point)

Responses

15/45
Start Fraction 15 over 45 End Fraction

15/45 = 30/90
Start Fraction 15 over 45 End Fraction equals Start Fraction 30 over 90 End Fraction

15/45 = 90/30
Start Fraction 15 over 45 End Fraction equals Start Fraction 90 over 30 End Fraction

1/3

Answer 3

The correct proportion that describes the relative amounts of each color is:

15/45 = 30/90

Answer 4

To determine the correct proportion for the relative amounts of red and green blocks, we need to compare the number of red blocks to the number of green blocks in each group. Let's go through the given options to find the correct proportion:

Option 1: 15/45
This proportion compares the number of red blocks (15) to the number of green blocks (45) in the first group.

Option 2: 15/45 = 30/90
This proportion compares the number of red blocks (15) to the number of green blocks (45) in the first group and also compares the number of red blocks (30) to the number of green blocks (90) in the second group.

Option 3: 15/45 = 90/30
This proportion compares the number of red blocks (15) to the number of green blocks (45) in the first group and compares the number of red blocks (90) to the number of green blocks (30) in the second group.

Option 4: 1/3
This proportion is not directly related to the given information about the blocks.

Now, let's analyze the options:

Option 1: 15/45
This proportion correctly describes the relative amounts of red and green blocks in the first group. However, it does not consider the red and green blocks in the second group, so it is not the correct answer.

Option 2: 15/45 = 30/90
This proportion correctly compares the amounts of red and green blocks in both groups. Since the given question asks for the relative amounts of each color, this proportion is correct.

Option 3: 15/45 = 90/30
This proportion compares the red and green blocks in the first group correctly, but it reverses the comparison in the second group. Therefore, it is not the correct answer.

Option 4: 1/3
This proportion does not consider the actual numbers of red and green blocks. Therefore, it is not the correct answer.

Based on the analysis above, the correct proportion to describe the relative amounts of red and green blocks is:

15/45 = 30/90 (Option 2)