lect the correct answer from each drop-down menu. Consider the table shown. x 1 2 3 4 5 f(x) 8 16 32 64 128 The average rate of change on [1, 3] is the average rate of change on [2, 4]. The average rate of change on [1, 3] is the average rate of change on [1, 5]. So, the function be linear.

Respuesta :

The equation of the linear function will be given as y = 12x – 12.

What is a function?

A statement, principle, or policy that creates the link between two variables is known as a function.

The table is given below.

 x           1            2           3             4             5

f(x)          8          16         32           64           128

The average rate of change on [1, 3] will be

⇒ (32 – 8) / (3 – 1)

⇒ 12

The average rate of change on [2, 4] will be

⇒ (64 – 16) / (4 – 2)

⇒ 24

The average rate of change on  [1, 5] will be

⇒ (128 – 8) / (5 – 1)

⇒ 30

Then the linear equation will be

y – 12 = [(24 – 12) / (3 – 2)](x – 2)

y – 12 = 12x – 24

y = 12x – 12

More about the function link is given below.

https://brainly.com/question/5245372

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Answer:

the linear equation seems to be 12x-12

Step-by-step explanation:

he average rate of change on [2, 4] will be ⇒ (64 – 16) / (4 – 2)⇒ 24

The average rate of change on  [1, 5] will be⇒ (128 – 8) / (5 – 1)