Question

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

Function 1: y = 4x + 5

Function 2: The line passing through the points (1, 6) and (3, 10).


Which of these functions has the greater rate of change?

Answer 1

Answer: B) function 1 has a slope of 4, function 2 has a slope of 2

Explanation:

Function 1: y = 4x + 5

It is already in slope-intercept format (y = mx + b) so m = 4

Function 2: (1, 6) and (3, 10)

Use the slope formula:
`m=(y_2-y_1)/(x_2-x_1)`

`m=(10-6)/(3-1)\\\\m =(4)/(2)\\\\\bold{m =2}`

Function 1: m = 4

Function 2: m = 2

So, Function 1 has the greater slope (aka rate of change).