Question

A function is shown in the table below. What equation represents this function?

Answer 1

Answer:

The equation is y = -3*x + 6.

Step-by-step explanation:

Looking at the data we can see that everytime "x" goes up by 1 the rate of change in "y" is -3. The function also appear to be changing in a linear fashion, therefore we can use a formula such as:

y = a*x + c

Since tha rate of change is -3, then a = -3:

y = -3*x + c

Applying the equation above to a few points must give us the value for c:

12 = -3*(-2) + c

12 = 6 + c

c = 6

9 = -3*(-1) + c

9 = 3 + c

c = 6

Therefore the equation is:

y = -3*x + 6.