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Write a function rule for the table.


c = 12d + 22

c = 22d + 22

c = 22d

c = 22d + 12

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

Respuesta :

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

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

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