Use the image to answer the question.
A graph with the x-axis representing scoops of red paint ranging from 0 to 12 in increments of 1 and the y-axis representing scoops of yellow paint ranging from 0 to 30 in increments of 1 shows seven plotted points, 5 for option A and 2 option B. Option A has the following points: left parenthesis 2 comma 5 right parenthesis; left parenthesis 4 comma 10 right parenthesis; left parenthesis 6 comma 15 right parenthesis; left parenthesis 8 comma 20 right parenthesis; and left parenthesis 10 comma 25 right parenthesis. Option B has the following points: left parenthesis 5 comma 11 right parenthesis and left parenthesis 10 comma 22 right parenthesis.
Which coordinate pair should be plotted next for Option B to keep the ratio the same?
(1 point)
Responses
(11, 23)
left parenthesis 11 comma 23 right parenthesis
(15, 23)
left parenthesis 15 comma 23 right parenthesis
(15, 33)
left parenthesis 15 comma 33 right parenthesis
(11, 33)
To determine the answer, we need to examine the pattern of the coordinate pairs for Option B. The ratio between the x-coordinate and the y-coordinate is 5/11.
We can find the next coordinate pair by multiplying the current x-coordinate by the same ratio.
The last given coordinate pair for Option B is (10, 22).
To find the next coordinate, we multiply the x-coordinate, 10, by the ratio, 5/11:
10 * (5/11) = 50/11 ≈ 4.55
Since we are dealing with whole numbers on the graph, we can round 4.55 to the nearest whole number, which is 5.
Therefore, the next coordinate pair for Option B should be (5, 23).
Thus, the answer is:
(11, 23)
left parenthesis 11 comma 23 right parenthesis