Input output table like this 0 in no output 2/3 in 17/6 out 11/4 in ? Out 3 in 13/3 out - in 13/2 out ?
To fill in the missing values in the table, we need to identify the pattern that relates the input values to the corresponding output values. Let's analyze each row:
1st row: 0 → no output
2nd row: 2/3 → 17/6
3rd row: 11/4 → ?
To generate the output for the 3rd row, we need to understand how the input values in the 2nd row are transformed into the output values. Notice that the numerator (top) of the output fraction is obtained by multiplying the numerator of the input fraction by 5 and then adding 4. The denominator (bottom) remains the same.
Using this pattern, we can calculate the output for the 3rd row as follows:
Input = 11/4
Output numerator = (11 * 5) + 4 = 55 + 4 = 59
Output denominator remains 4
Therefore, the output for the 3rd row is 59/4.
Moving on to the next row:
4th row: 3 → 13/3
5th row: - → ?
In this case, we need to find the pattern between the input value in the 4th row and the output value. By examining the values in the 4th row, we observe that the numerator of the output fraction is obtained by multiplying the input value by 4 and then subtracting 1. The denominator remains the same.
Using this pattern, we can calculate the output for the 5th row as follows:
Input = -
Output numerator = (- * 4) - 1 = -4 - 1 = -5
Output denominator remains the same
Therefore, the output for the 5th row is -5/3.
To summarize, the missing values in the table are:
11/4 in → 59/4 out
3 in → 13/3 out
- in → -5/3 out