Write a function rule for the table.
c = 12d + 22
c = 22d + 22
c = 22d
c = 22d + 12

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.
[tex] slope = \frac{y2 - y1}{x2 - x1} [/tex]
Plugging the values,
[tex] slope = \frac{100-34}{4-1} [/tex]
slope =22
Step 2:
plug the value of slope and point in point slope form.
Point slope form is given by:
[tex] (y-y1) = m(x-x1) [/tex]
Using point (4,100) and slope m=22
[tex] (y-100) = 22(x-4) [/tex]
[tex] (y-100) = 22x-88 [/tex]
[tex] y= 22x+12 [/tex]
in terms of c and d rewriting,
[tex] c= 22d+12 [/tex]
Answer is c=22d +12