Question

function a and function b are linear functions. function a is represented by the table values. function b is represented by the equation y=3x+4

Answer 1

The y-intercept of B is greater than the y-intercept of A and the rate of change of function A is less than the rate of change of B

Linear functions

The standard linear equation is expressed as y = mx + b

For the given table;

The y-intercept occur at x = 0

y = 3x + 4

y = 3(0) + 4

y = 4

For the table;

Using the coordinate points (1, 2) and (3,10)

rate of change "m" = 10-2/3-1
m = 8/2

m = 4

Recall that y = mx + b

2 = 4(1) + b

b = -2

Hence the y-intercept of B is greater than the y-intercept of A and the rate of change of function A is less than the rate of change of B.

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