Question

Use the table of values below to select the correct statement.

Answer 1

Linear function with rate of change/growth = 2.5, which agrees with the fourth statement listed in the answers options.

Explanation:

Notice that both columns of reported x and y values are increasing.

Then examine how the given x-values increase:

-2, 2, 6, 10, 14 (in steps of 4 units)

and how their corresponding y-values increase:

-2, 8, 18, 28, 38 (in steps of 10 units)

therefore, if we do the rate of change for any pair
`(x_1,y_1)` and
`(x_2,y_2)`, we get the following constant rate of change:

`(y_2-y_1)/(x_2-x_1) = (10)/(4) =2.5`

Given that this relationship is valid for any pair of (x,y) values. we conclude that the rate of increase is constant, and therefore we are in the presence of a linear function, whose rate of change is 2.5