151k views
2 votes
Which of the following is not an equivalent ratio in the bar model that shows the ratio of online ads to TV ads used to promote the new Avengers movie?

A. 3:2
B. 6:4
C. 9:6
D. 12:8

1 Answer

7 votes

Final answer:

Option A (3:2) is not an equivalent ratio to the other provided options (assuming the bar model represents a different ratio), because it represents its simplest form and cannot be simplified further, unlike the other options which can be reduced to the same form.

Step-by-step explanation:

The question involves identifying which option is not an equivalent ratio to a given bar model representing the ratio of online ads to TV ads used to promote the new Avengers movie. To determine equivalent ratios, we need to verify that the second term can be obtained by multiplying the first term by the same number. In other words, if we have the ratio a:b, an equivalent ratio would be (a * n):(b * n), where n is any positive number.

Let's check each option:

  • Option A: 3:2 — We can check if this can be simplified or not. Since 3 and 2 share no common factors besides 1, this is its simplest form.
  • Option B: 6:4 — This ratio can be simplified by dividing both terms by 2, giving us 3:2, so this is equivalent.
  • Option C: 9:6 — By dividing both numbers by 3, we get 3:2, which is also equivalent.
  • Option D: 12:8 — Dividing both numbers by 4 results in 3:2, showing that this is equivalent as well.

Since all the options except Option A can be simplified to 3:2, they are all equivalent ratios. Therefore, the answer is that Option A is not an equivalent ratio in the bar model that shows the ratio of online ads to TV ads used to promote the new Avengers movie, assuming that the bar model does not represent the ratio 3:2.