Question

Please Help

Function 1 is defined by the equation: p=r+7
Function 2 is defined by the table shown in the image below
Which function has a greater slope, function 1 or function 2?

Answer 1

Function 2 has the greater slope

Explanation:

Answer 2

The slope of Function 2 (m=1.1) is greater than the slope of Function 1 (m=1).

Explanation:

First, note that p is essentially the y and that r is the x. Thus, to make this easier to see, convert p to y and r to x. Thus:

`y=x+7`

From the above equation, we can determine that the slope is 1. Thus, the slope of Function 1 is 1.

To find the slope of the table, simply use the slope formula. Use any two points. I'm going to use the points (0,8) and (10,19). Let (0,8) be x₁ and y₁, and (10,19) be x₂ and y₂. Therefore:

`m=(y_2-y_1)/(x_2-x_1)=(19-8)/(10-0)=11/10=1.1`

Thus, the slope of Function 2 is 1.1.

1.1 is greater than 1.

Thus, the slope of Function 2 is greater than the slope of Function 1.