What ratio, a:b, is represented in the table? a b 1.5 2.5 51 85 99 165 Responses A 3:53:5 B 2:32:3 C 4:54:5
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The answer is C 4:54:5.
To determine the ratio represented in the table, you need to compare the values for a and b. Let's look at the given values:
a b
1.5 2.5
51 85
99 165
Comparing the values of a and b, we can see that:
1.5 / 2.5 ≈ 0.6
51 / 85 ≈ 0.6
99 / 165 ≈ 0.6
The ratio between a and b is approximately 0.6. However, the given answer choices are in the format "a:b:c". To convert the ratio into this format, we can multiply both values by a common factor to make them all integers. In this case, we can multiply all the values by 10:
0.6 * 10 = 6
So, the ratio in the table is approximately 6:10 or simplified to 3:5.
Looking at the answer choices:
A) 3:53:5
B) 2:32:3
C) 4:54:5
The correct answer would be A) 3:5.
To determine the ratio represented in the table, we need to look for a consistent relationship between the two columns. Let's examine the values:
For the first row, we have a=1.5 and b=2.5.
For the second row, we have a=51 and b=85.
For the third row, we have a=99 and b=165.
To establish a ratio, we can divide each value of b by its corresponding value of a:
For the first row, 2.5/1.5 ≈ 1.667.
For the second row, 85/51 ≈ 1.667.
For the third row, 165/99 ≈ 1.667.
From the calculations above, we can see that the ratio between a and b appears to be approximately 1.667:1.
Given the answer choices, none of them match this ratio exactly. Therefore, it's possible that there may be an error in the provided answer choices. However, based on the given options, the closest ratio would be B) 2:32:3, although it doesn't exactly match the calculations we made.