Question

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)

Answer 1

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