Question

Which function describes this table of values?

Answer 1

Answer:

$y=\frac{4}{5}x$

Step-by-step 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 = $\frac{y_2-y_1}{x_2-x_1}$

   = $\frac{8-4}{10-5}$

   = $\frac{4}{5}$

Therefore, equation of the line will be,

$y=\frac{4}{5}x$

Option (2) will be the answer.