Answer:
Hence, the complete table is,
x y
0.8 4
3.2 16
12.8 64
Step-by-step explanation:
We are given that,
The ratio of the given y-value and x-value = \(\frac{4}{0.8}=5\)
So, the ratio of next terms must be 5.
That is, \(\frac{y}{3.2}=5\)
That is, \(y = 5\times 3.2\)
That is, y = 16
So, the next term in the table is, x = 3.2 and y = 16.
Further, as we see,
Difference of the x-values = \(3.2-0.8=2.4\)
So, the third value of x will be obtained by adding 2.4
That is, \(3.2+2.4=5.6\)
But, as \(5.6\times 5 = 28\), is not in the given numbers.
We add 2.4 to the x-values until we get the numbers given in the options.
So, we get that,
The third x-value is 12.8.
So, the corresponding y-value = \(12.8\times 5=64\)
Hence, the complete table is,
x y
0.8 4
3.2 16
12.8 64
