find the rate of change represented by the data in the table below.\nis the rate of change positive or…

find the rate of change represented by the data in the table below.\nis the rate of change positive or negative?\na) positive b) negative\nrate of change: \\frac{change in y}{change in x}

find the rate of change represented by the data in the table below.\nis the rate of change positive or negative?\na) positive b) negative\nrate of change: \\frac{change in y}{change in x}

Answer

Explanation:

Step1: Calculate change in (x) and (y)

Take two points ((x_1,y_1)=(-4,-1)) and ((x_2,y_2)=(0,-4)) Change in (x): (x_2 - x_1=0-(-4) = 4) Change in (y): (y_2 - y_1=-4-(-1)=-3)

Step2: Compute rate of change

Rate of change (=\frac{\text{change in }y}{\text{change in }x}=\frac{-3}{4}=-\frac{3}{4}) Since the rate of change (=-\frac{3}{4}<0)

Answer:

b) negative