Question

Two linear functions are represented below.

Function A:
Function B:
y = 2x - 1
x y
-1.5 -2
-1 0
-0.5 2
0 4
0.5 6
1 8
3 16
The rate of change for Function A is the rate of change for Function B.

When 0 < x < 3, increasing.

The y-intercept of Function A is the y-intercept of Function B.

Answer 1

The function which has a greater rate of change or slope is required.

Function B has a greater rate of change.

Rate of change is given by

The ordered pairs for the first function are

Slope

Since, it is a linear equation the slope will be equal for all ordered pairs.

The point slope form of a line is

where

m = Slope or rate of change

c = y intercept

Here, the equation is

The slope is 0.75.

Function B has a greater rate of change.

Explanation: