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.

(1 point)
(
)
; (
)

Answer 1

To identify the missing equivalent ratios from the coordinate plane based on the given options, we first analyze the data from both Option A and Option B:

### Option A:
- For 7 megabytes, it takes 2 seconds. \( \frac{7}{2} \)
- For 14 megabytes, it takes 4 seconds. \( \frac{14}{4} = \frac{7}{2} \)
- For 21 megabytes, it takes 6 seconds.

Now let's look for equivalent ratios:
- The ratio of megabytes to seconds for 21 megabytes is \( \frac{21}{6} \).

To check for equivalence with the earlier ratios (\( \frac{7}{2} \)):
- Simplifying \( \frac{21}{6} = \frac{7}{2} \).

**Ratios identified from Option A are:**
1. (21, 6) or \( \left( \frac{21}{6} \right) \)
2. (7, 2)

### Option B:
- For 8 megabytes, it takes 3 seconds. \( \frac{8}{3} \)
- For 16 megabytes, it takes 6 seconds.

Now let's look for equivalent ratios:
- The ratio of megabytes to seconds for 16 megabytes is \( \frac{16}{6} = \frac{8}{3} \), or alternatively \( \frac{8}{3} = \frac{16}{6} \).

**Ratios identified from Option B are:**
1. (16, 6) or \( \left( \frac{16}{6} \right) \)
2. (8, 3)

### Missing Equivalent Ratios:
Thus, the missing equivalent ratios from the given options and calculated would be presented in the following ordered pairs format:

(21, 6); (16, 6)

These pairs can represent their respective equivalent ratios based on the previous calculations and the missing points from the graph.