218k views
5 votes
The table below represents a linear function.Which relationship represents a function with a lesser rate of change than the function represented above?A. B. C. D.(Important: Please check the attached photo before answering the question)

The table below represents a linear function.Which relationship represents a function-example-1
User Jose Parra
by
8.4k points

1 Answer

7 votes

We must find the slope of the table and compare it with the slopes of the option:

So, the slope of the table will be calculated using two points

(-4 , 6) and (0,-1)

so, we will find which option has a slope lesser than -1.75

Option A: using the points (0 , 2) and (1 , -1)

option C: using the points (0 , -2) and (-4 , 5)

slope of B

given y = (3/2) x + 4

so, slope = 3/2 = 1.5

Slope of option D: given y = -x - 5

so, slope = -1

Compare the slope of the table to the slopes of the options, we will find that

Option A: -3 < -1.75

Option B : 3/2 > -1.75

Option C: -1.75 = -1.75

Option D: -1 > -1.75

So, the answer is option A

The table below represents a linear function.Which relationship represents a function-example-1
The table below represents a linear function.Which relationship represents a function-example-2
The table below represents a linear function.Which relationship represents a function-example-3
User Brian Tung
by
8.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories