Question

The rate of change is ____.
-4
-1
1
4

Answer 1

-4

Explanation:

Rate of Changes:

`\displaystyle \large{(\Delta y)/(\Delta x)=(y_2-y_1)/(x_2-x_1)}`

Pick two values of x and y from the given table:

• I pick (1,5) and (-1,13).
• I define (1,5) be (x2,y2) and (-1,13) be (x1,y1)

Therefore:

`\displaystyle \large{(\Delta y)/(\Delta x)=(5-13)/(1-(-1))}\\\displaystyle \large{(\Delta y)/(\Delta x)=(-8)/(1+1)}\\\displaystyle \large{(\Delta y)/(\Delta x)=(-8)/(2)}\\\displaystyle \large{(\Delta y)/(\Delta x)=-4}`

Therefore, rate of change is -4