teairracampbell
contestada

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?
A) Function 1, because the slope is 5 and the slope of function 2 is 4.
B) Function 1, because the slope is 4 and the slope of function 2 is 2.
C) Function 2, because the slope is 7 and the slope of function 1 is 5.
D) Function 2, because the slope is 5 and the slope of function 1 is 4.

Respuesta :

MrGumby
B. The formula for function 2 is y = 2x + 4

Answer:

B) Function 1, because the slope is 4 and the slope of function 2 is 2.  

Step-by-step explanation:

Function 1 is in slope-intercept form, which is

y = mx+b, where m is the slope and b is the y-intercept.

This means the slope of function 1 is 4.

The slope of function 2 is given by the formula

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Using our two points for function 2, we have

m = (10-6)/(3-1) = 4/2 = 2

This means the slope of function 1 is greater.