Consider the output table.
x
1 2 3 4
y
4 8 a 16
What is the value of a in the input and output table?
Based on the given input and output table, we can see that when x=3, y=a.
So, the value of a in the input and output table is 3.
To find the value of "a" in the output table, we need to look at the relationship between the input values (x) and the corresponding output values (y).
From the given table, we can see that when x = 1, y = 4. Similarly, when x = 2, y = 8, and when x = 4, y = 16. However, when x = 3, the output value is denoted as "a".
To determine the value of "a", we can analyze the pattern evident in the other values. From x = 1 to x = 2, we can observe that y doubles from 4 to 8. Likewise, from x = 2 to x = 4, y doubles from 8 to 16.
Applying the same pattern, we can assume that from x = 3 to x = 4, y will double again. Therefore, the value of "a" in the output table should be 16.
Therefore, the value of a in the input and output table is 16.
looks linear, since
a-8 = 16-a gives us
2a = 24
a = 12
4, 8, 12, 16 , common difference is 4 or
the rule is y = 4x