Use the tables and image to answer the question.
Option A
x
(ounces) y
($)
9 4
18 8
27 12
Option B
x
(ounces) y
($)
11 6
22 12
A graph with the x-axis representing ounces ranging from 0 to 30 in increments of 3 and the y-axis representing dollars ranging from 0 to 20 in increments of 2 shows three plotted points, 2 for option A and 1 for option B. Option A has the following points: left parenthesis 9 comma 4 right parenthesis and left parenthesis 18 comma 8 right parenthesis. Option B has the following point: left parenthesis 11 comma 6 right parenthesis.
Based on the tables and coordinate plane, identify the missing equivalent ratios from the coordinate plane.
To find the missing equivalent ratios from the coordinate plane, we can look at the pattern of the given points and compare them.
In Option A, we see that as the number of ounces doubles (9 to 18), the amount of money also doubles (4 to 8). This means that the ratio of ounces to money stays the same:
9 ounces corresponds to $4, so the ratio is 9:4.
18 ounces corresponds to $8, so the ratio is 18:8.
Based on this pattern, we can find the missing equivalent ratio for Option A.
27 ounces corresponds to $12. Since 9 ounces is equivalent to $4, and the ratio stays the same, we can set up a proportion:
9/4 = 27/x
Solving for x, we get:
9x = 27*4
x = 108/9
x = 12
So the missing equivalent ratio for Option A is 27:12.
For Option B, we can see that as the number of ounces doubles (11 to 22), the amount of money also doubles (6 to 12). This means that the ratio of ounces to money stays the same:
11 ounces corresponds to $6, so the ratio is 11:6.
Based on this pattern, we can find the missing equivalent ratio for Option B.
22 ounces corresponds to $12. Since 11 ounces is equivalent to $6, and the ratio stays the same, we can set up a proportion:
11/6 = 22/x
Solving for x, we get:
11x = 22*6
x = 132/11
x = 12
So the missing equivalent ratio for Option B is 22:12.
Therefore, the missing equivalent ratios from the coordinate plane are 27:12 for Option A and 22:12 for Option B.