Question

Which table could be a partial set of values for a linear function?

Answer 1

he linear function is popular in economics. It is attractive because it is simple and easy to handle mathematically. It has many important applications.
Linear functions are those whose graph is a straight line.
to make a straight line the y and x values must have common ratioonly first table is a linear function
common ratio for x = 1 - 0 =1= 2 -1 = 1
common ratio for y = 5 -3 = 2= 7 - 5 = 2

Answer 2

Option 1.

Explanation:

In a linear function, the rate of change is constant.

`\text{Rate of change }=(Rise)/(Run)=\frac{\text{Change is y}}{\text{Change in x}}`

From the first table it is clear that the value of y increased at a constant rate.

If the value of x increased by 1 unit, then the value of y increased by 2 units.

`\text{Rate of change }=(2)/(1)=2`

Only table 1 represents the constant rate of change, it means table 1 is a partial set of values for a linear function.

Therefore, the correct option is 1.