Question

Which function describes this table of values?

Answer 1

`y=(4)/(5)x`

Explanation:

Equations in the given options are linear, so the table given represent a linear function.

Let the equation of the linear function is,

y = mx + b

Since this equation passes through (0, 0),

0 = m(0) + b

b = 0

Therefore, equation of the line will be,

y = mx

Slope of the line passing through (10, 8) and (5, 4),

m =
`(y_2-y_1)/(x_2-x_1)`

=
`(8-4)/(10-5)`

=
`(4)/(5)`

Therefore, equation of the line will be,

`y=(4)/(5)x`

Option (2) will be the answer.