Question

Use the tables and image to answer the question.

Option A
x
(megabytes) y
(seconds)
7 2
14 4
21 6
Option B
x
(megabytes) y
(seconds)
8 3
16 6


A graph with the x-axis representing megabytes ranging from 0 to 22 in increments of 1 and the y-axis representing seconds ranging from 0 to 7 in increments of 1 shows three plotted points, 2 for option A and 1 for option B. Option A has the following points: left parenthesis 7 comma 2 right parenthesis and left parenthesis 14 comma 4 right parenthesis. Option B has the following point: left parenthesis 8 comma 3 right parenthesis.

Based on the tables and coordinate plane, identify the missing equivalent ratios from the coordinate plane.

Answer 1

To identify the missing equivalent ratios from the coordinate plane based on the given data in Option A and Option B, we need to look for the relationship between the values of x (megabytes) and y (seconds).

### Option A Data Points:
1. (7, 2)
2. (14, 4)
3. (21, 6)

To find the equivalent ratios, we can calculate the ratios of the values of x to y:

- For (7, 2), the ratio is 7/2.
- For (14, 4), the ratio is 14/4 = 7/2.
- For (21, 6), the ratio is 21/6 = 7/2.

All these points represent the same ratio of x to y, which is 7:2.

### Option B Data Points:
1. (8, 3)
2. (16, 6)

For Option B, let's calculate the ratios:

- For (8, 3), the ratio is 8/3.
- For (16, 6), the ratio is 16/6 = 8/3.

Both points in Option B share the same ratio of 8:3.

### Summary of Equivalent Ratios:
- **Option A** has the equivalent ratio of **7:2** for each of its points.
- **Option B** has the equivalent ratio of **8:3** for its points.

### Missing Equivalent Ratios:
There aren't any specific "missing" ratios mentioned directly in the question; however, we can conclude that any other point on the lines representing Option A and Option B on the graph would maintain these ratios.

Therefore, the equivalent ratios for the points plotted in the game are:
- For Option A: 7:2
- For Option B: 8:3

To summarize the equivalent ratios represented in the coordinate plane:
- Option A: (7, 2), (14, 4), (21, 6) correspond to the ratio 7:2.
- Option B: (8, 3), (16, 6) correspond to the ratio 8:3.