Question

Use the image to answer the question.

A coordinate plane shows red paint on the X-axis and blue paint on the Y-axis. The X-axis ranges from 0 to 10 in increments of 2. The Y-axis ranges from 0 to 15 in increments of 3. The data points are left parenthesis 2 comma 3 right parenthesis, left parenthesis 4 comma 6 right parenthesis, left parenthesis 6 comma 9 right parenthesis, and left parenthesis 8 comma 12 right parenthesis.

What is the ratio of red paint to blue paint?

(1 point)
Responses

2:3
ratio of 2 to 3

1:3
ratio of 1 to 3

1:2
ratio of 1 to 2

3:4
ratio of 3 to 4
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1 answer

To find the ratio of red paint to blue paint based on the given data points and their coordinates, we need to analyze the points and the colors associated with each axis.

The red paint is associated with the X-axis, which represents the first coordinate of each point (the x-coordinate), while the blue paint is associated with the Y-axis, which represents the second coordinate of each point (the y-coordinate).

The data points provided are:

  1. (2, 3)
  2. (4, 6)
  3. (6, 9)
  4. (8, 12)

Now, we will calculate the total amount of red and blue paint.

  • Total red paint (sum of x-coordinates):

    • 2 + 4 + 6 + 8 = 20
  • Total blue paint (sum of y-coordinates):

    • 3 + 6 + 9 + 12 = 30

Now, we can find the ratio of red paint to blue paint:

Ratio of red paint to blue paint = Total red paint : Total blue paint = 20 : 30

This ratio can be simplified by dividing both sides by 10:

20 ÷ 10 : 30 ÷ 10 = 2 : 3

Thus, the ratio of red paint to blue paint is 2:3.

The correct response is: 2:3 (ratio of 2 to 3)