Equivalent Ratios
x y
3 4
9 ?
18 24
What number is missing from the table of equivalent ratios?
A) 10
B) 12
C) 15
D) 16 i think it is 16 or 12
The answer is 9
x / y = 3 / 4
4 x = 3 y
yup
12
12?
12
To find the missing number in the table of equivalent ratios, we need to determine the relationship between the given numbers.
Let's examine the first row: (3, 4). The ratio is 3:4, which means that for every 3 in the numerator (x), there are 4 in the denominator (y).
Applying the same ratio to the second row, we can calculate the missing value.
For 9 in the numerator, we can set up the equation:
3/4 = 9/y
Now, we can solve for y by cross multiplying:
3y = 9 * 4
3y = 36
y = 36/3
y = 12
So, the missing value for the second row is 12.
For the last row, we can apply the same ratio as well:
3/4 = 18/y
Cross multiplying:
3y = 18 * 4
3y = 72
y = 72/3
y = 24
Therefore, the missing value for the last row is 24.
Analyzing the options provided, we can see that the missing number is not 16, as 16 is not a multiple of the numerator values (3 and 18). The missing number is 12.
Therefore, the correct answer is B) 12.