Use the image to answer the question.
A graph with the x-axis representing oranges ranging from 0 to 36 in increments of 3 and the y-axis representing dollars ranging from 0 to 20 in increments of 1 shows six plotted points, 3 each for option A and option B. Option A has the following points: left parenthesis 12 comma 5 right parenthesis; left parenthesis 24 comma 10 right parenthesis; and left parenthesis 36 comma 15 right parenthesis. Option B has the following points: left parenthesis 9 comma 6 right parenthesis; left parenthesis 18 comma 12 right parenthesis; and left parenthesis 27 comma 18 right parenthesis.
Which coordinate pair should be plotted next for Option B to keep the ratio the same?
(1 point)
Responses
(30, 21)
left parenthesis 30 comma 21 right parenthesis
(29, 20)
left parenthesis 29 comma 20 right parenthesis
(36, 24)
left parenthesis 36 comma 24 right parenthesis
(33, 24)
To keep the ratio the same for option B, we need to find the next coordinate pair that has the same ratio of dollars to oranges as the previous points.
For option A, the ratio of dollars to oranges is 5/12, or approximately 0.4167.
For option B, the ratio of dollars to oranges is 6/9, or approximately 0.6667.
To find the next coordinate pair for option B with the same ratio, we need to multiply the current oranges value (27) by the ratio and then find the corresponding dollars value.
27 * 0.4167 ≈ 11.251
So the next coordinate pair should be (27, 11.251), which is not given as an option.
Therefore, none of the provided options will keep the ratio the same.