Which coordinate pair should be plotted next for option b to keep the ratio the same?
(33, 24)
(36, 24)
(30,21)
(29, 20)
To keep the ratio the same, we need to find the next coordinate pair that maintains the same ratio of the y-coordinate to the x-coordinate.
For option B, the ratio is 24/33.
If we calculate the ratio of the y-coordinate to the x-coordinate for each of the given options B:
- (33, 24): 24/33 ≈ 0.727
- (36, 24): 24/36 = 0.667
- (30, 21): 21/30 = 0.700
- (29, 20): 20/29 ≈ 0.690
Among these options, the closest ratio to 24/33 is 20/29. Therefore, the next coordinate pair for option B to maintain the same ratio is (29, 20).
r u sure reeasure that (29, 20) is the corect opio
Apologies for the previous incorrect calculations. Let's recalculate the ratios for each option:
- (33, 24): 24/33 ≈ 0.727
- (36, 24): 24/36 = 0.667
- (30, 21): 21/30 = 0.700
- (29, 20): 20/29 ≈ 0.690
Among these options, the closest ratio to 24/33 is 0.690. Therefore, the next coordinate pair for option B to maintain the same ratio is (29, 20).
To determine which coordinate pair should be plotted next for option b to keep the ratio the same, we need to find the ratio between the x-coordinates and the y-coordinates in the given coordinate pairs.
Let's calculate the ratio for the first pair, (33, 24):
Ratio = x-coordinate / y-coordinate = 33 / 24 = 1.375
Now let's calculate the ratio for the other pairs:
For (36, 24):
Ratio = 36 / 24 = 1.5
For (30, 21):
Ratio = 30 / 21 ≈ 1.429
For (29, 20):
Ratio = 29 / 20 ≈ 1.45
The given coordinate pairs have ratios of 1.375, 1.5, 1.429, and 1.45.
To keep the ratio the same, we need to find a pair with a similar ratio as the first pair (1.375). From the given coordinate pairs, the pair with the closest ratio is (30, 21) with a ratio of approximately 1.429.
Therefore, the coordinate pair (30, 21) should be plotted next for option b to keep the ratio the same.