Question

Use the tables and image to answer the question.

Option A
x
(lemonade mix) y
(cups of water)
5 4
10 8
15 12
20 16
25 20
Option B
x
(lemonade mix) y
(cups of water)
6 5
12 10
18 15
24 20
A graph with the x-axis representing scoops of lemonade mix ranging from 0 to 30 in increments of 3 and the y-axis representing cups of water ranging from 0 to 20 in increments of 2 shows seven plotted points, 4 for option A and 3 for option B. Option A has the following points: left parenthesis 5 comma 4 right parenthesis; left parenthesis 10 comma 8 right parenthesis; left parenthesis 15 comma 12 right parenthesis; and left parenthesis 20 comma 16 right parenthesis. Option B has the following points: left parenthesis 6 comma 5 right parenthesis; left parenthesis 12 comma 10 right parenthesis; and left parenthesis 18 comma 15 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 provided tables for Option A and Option B, we will first summarize the ratios for both options.

### Option A:
The ratios of lemonade mix (x) to cups of water (y) can be calculated as follows:
1. 5 (lemonade mix) : 4 (cups of water) → 5/4
2. 10 : 8 → 10/8 = 5/4
3. 15 : 12 → 15/12 = 5/4
4. 20 : 16 → 20/16 = 5/4
5. 25 : 20 → 25/20 = 5/4

All the ratios in Option A are equivalent to 5/4.

### Option B:
The ratios of lemonade mix (x) to cups of water (y) can be calculated as follows:
1. 6 : 5 → 6/5
2. 12 : 10 → 12/10 = 6/5
3. 18 : 15 → 18/15 = 6/5
4. 24 : 20 → 24/20 = 6/5

All the ratios in Option B are equivalent to 6/5.

### Identifying Missing Equivalent Ratios:
To identify the missing equivalent ratios from the provided data, let's determine what pairs are missing based on the graph and tables.

From the graph, Option A has points at (5,4), (10,8), (15,12), (20,16) with a constant ratio of 5/4. The missing ratio (25, 20) also maintains the same ratio as per the table.

For Option B, points at (6,5), (12,10), (18,15) maintain a ratio of 6/5, with (24,20) also completing this pattern.

In summary, here are the identified equivalent ratios missing from the coordinate plane but present in the tables:

- For **Option A**, the missing equivalent ratio is (25, 20).
- For **Option B**, the missing equivalent ratio is (24, 20).

These points complete the graph for both options while maintaining the correct ratios of lemonade mix to cups of water.