Step: 1
Linear equation in intercept form is y = a + bx, where b is the rate of change and a is the y - intercept.
Step: 2
The input variable x is the number of extra hours and the output variable y gives the total earnings of John per day.
Step: 3
Change in output values = 10
Step: 4
Change in input values = 1
Step: 5
Rate of change = change in output valueschange in input values = 101 = 10
Step: 6
Working backwards with the values in the table, we get (0, 50).
Step: 7
So, the linear equation that satisfies the table is
y = 10
x + 50.
[Substitute rate of change and y - intercept values.]
Correct Answer is : y = 10x + 50