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)