Question

Write a function rule for the table.

Answer 1

The answer is D.
example: (22×2) + 12 = 56
44 + 12
C = 56

Answer 2

From the given table we can have two points as : (1,34) and (4,100)

Now we can follow these step to find the equation.

Step 1:

Use slope formula to get the slope from given points.

$slope = \frac{y2 - y1}{x2 - x1}$

Plugging the values,

$slope = \frac{100-34}{4-1}$

slope =22

Step 2:

plug the value of slope and point in point slope form.

Point slope form is given by:

$(y-y1) = m(x-x1)$

Using point (4,100) and slope m=22

$(y-100) = 22(x-4)$

$(y-100) = 22x-88$

$y= 22x+12$

in terms of c and d rewriting,

$c= 22d+12$

Answer is c=22d +12