Ask a New Question
Menu

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.

(1 point)
(
)
; (
)

1 answer

To find the missing equivalent ratios from the coordinate plane, we analyze both Option A and Option B provided.

Option A

The points given are:

  1. (5, 4)
  2. (10, 8)
  3. (15, 12)
  4. (20, 16)

Each entry represents the ratio of lemonade mix (x) to cups of water (y). We can deduce that the ratios for Option A are:

  • 5 lemonade mix to 4 cups of water (5:4)
  • 10 lemonade mix to 8 cups of water (10:8)
  • 15 lemonade mix to 12 cups of water (15:12)
  • 20 lemonade mix to 16 cups of water (20:16)

Option B

The points given are:

  1. (6, 5)
  2. (12, 10)
  3. (18, 15)

Each entry also represents the ratio of lemonade mix (x) to cups of water (y) in Option B:

  • 6 lemonade mix to 5 cups of water (6:5)
  • 12 lemonade mix to 10 cups of water (12:10)
  • 18 lemonade mix to 15 cups of water (18:15)

Finding the Equivalent Ratios

  1. Option A is consistent with a ratio of lemonade mix to cups of water in the form of 5n:4n (for n = 1 to 4).
  2. Option B is consistent with a ratio looking like 6n:5n (for n = 1 to 3).

However, we haven't seen all the plotted points mentioned on the coordinate plane. Given that we are looking for missing equivalent ratios within the expected range of ratios for both options, the most logical missing point ratios are also proportional based on the mixing ratios established:

From Option A, possible missing ratios could include:

  • (25, 20) which is equivalent to the ratio 25:20, simplifying to 5:4.

From Option B, it seems we don't have the ratio for when n = 4 but can deduce:

  • (24, 20) which is equivalent to the ratio 24:20, simplifying to 6:5.

Conclusion

Thus, the missing equivalent ratios plotted on the graph should be:

(25, 20); (24, 20)