Question

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Answer 1

Function B > Function A > Function C

Explanation:

For function A,

From the given table,

Two points are (3, 3) and (5, 7).

Rate of change of the function between these points =
`(y_2-y_1)/(x_2-x_1)`

=
`(7-3)/(5-3)`

= 2

For function B,

Rate of change =
`(\triangle y)/(\triangle x)`

Here, Δy = y-intercept = 3

And Δx = x-intercept = -5

Therefore, rate of change =
`(3)/(-5)`

= -0.6

For function C,

Equation of the line → y = 3x + 1

By comparing this equation with slope-intercept form of the equation,

y = mx + b

Slope of the line = m = 3

Rate of change = 3

Now we can write the rate of changes of each function from least to greatest.

-0.6 > 2 > 3

Function B > Function A > Function C