Question

function is represented by the equation y equals 4x + 6 function b as a linear function that goes through the points shown in the table x 1 3 4 6 y 3 9 12 18 which statement correctly compares the rates of change of the two functions

Answer 1

Function Ais expressed as

y = 4x + 6

If we compare it with the slope intercept equation which is expressed as

y = mx + c,

where

m represents slope

we can see that the slope of function A is 4

Also, the formula for determining slope is expressed as

slope = (y2 - y1)/(x2 - x1)

y2 and y1 are final and initial values of y respectively

x2 and x1 are final and initial values of x respectively

From the table representing function B,

if x1 = 1, y1 = 3

if x2 = 3, y2 = 9

Slope = (9 - 3)/(3 -1) = 6/2

slope = 3

We know that slope also means rate of change. Therefore, the rate of change of function A is 4. The rate of change of function B is 3