Question

Function 1 is defined by the equation p=r + 7.
Function 2 is defined by the following table.

R P
0 8
1 9.1
5 13.5
10 19

Which function has a greater slope?
Choose 1 answer
A. Function 1.
B. Function 2.
C. The functions have the same slope.

Answer 1

Answer:

Function 2

Step-by-step explanation:

Function 1 has a slope of 1.

Function 2 has a slope of 1.1.

1.1 > 1, so Function 2 has a greater slope.

Answer 2

The slope of function 2 is greater then function 1

What is slope?

The slope of a line is defined as the change in y coordinate with respect to the change in x coordinate of that line. The net change in y coordinate is Δy, while the net change in the x coordinate is Δx. So the change in y coordinate with respect to the change in x coordinate can be written as,

m = Δy/Δx

where, m is the slope

Note that tan θ = Δy/Δx

Slope of a Line Formula

The slope of a line can be calculated from the equation of the line. The general slope of a line formula is given as,

y = mx + b

where,

m is the slope, such that m = tan θ = Δy/Δx

θ is the angle made by the line with the positive x-axis

Δy is the net change in y-axis

Δx is the net change in x-axis

Given:

p = r+7

So, the slope for function 1 = 1

and, for function 2 (0, 8) and (1, 9.1)

m= 9.1-8/ 1-0

m=1.1/1

m=1.1

So, the slope of function 2 > function 1.

Learn more about slope here:

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