the table represents the points on the graph of a linear function. Which of the following equations best represents the data in the table?

9514 1404 393

  f(x) = 3x +5

Step-by-step explanation:

The x-values change by 1 from the first line to the second.

The y-values change by -13-(-16) = 3 from the first line to the second.

Then the "rate of change" is ∆y/∆x = 3/1 = 3. This will be the coefficient of x in the equation. The last choice is appropriate:

  f(x) = 3x + 5

logv3(x+2)=1

rewrite in exponential form:

logb(x) = y is equal to b^y =x

b = 3, y = 1

now solve for x:

3^1 = x+2)

x = 3-2

x = 1

see the picture for the graph.