Answered

Consider the two functions. Which statement is true?
A) The rate of change for function A and function B are the same.
B) The slope of function B is negative and the slope of function A is positive.
C) The rate of change for function A is greater than the rate of change for function B.
D) The rate of change for function B is greater than the rate of change for function A.

Consider the two functions. Which statement is true? A) The rate of change for function A and function B are the same. B) The slope of function B is negative an class=

Answer :

Answer:

Step-by-step explanation:

The Answer is  

D) The rate of change for function B is greater than the rate of change for function A.

MrRoyal

The rate of change for function B is greater than the rate of change for function A.

Start by calculating the slope of function A using:

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

So, we have:

[tex]m = \frac{5 -4}{2 -1}[/tex]

This gives

[tex]m= 1[/tex]

The equation of function B is:

[tex]y = 5x - 5[/tex]

So, the slope of function B is:

[tex]m = 5[/tex]

By comparison, 5 is greater than 1

Hence, the true statement is D) The rate of change for function B is greater than the rate of change for function A.

Read more about slopes at:

https://brainly.com/question/3493733

Other Questions