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The table is an exponential function, and the equation that represents this function is
The table is given as:
x F(x)
4 15
5 31
7 127
8 255
Rewrite the table as:
x F(x)
4 16 - 1
5 32 - 1
7 128 - 1
8 256 - 1
Express as a base of 2
x F(x)
4 2⁴ - 1
5 2⁵- 1
7 2⁷ - 1
8 2⁸ - 1
Notice that the function is 1 subtracted from 2 raised to the power of the input.
This is represented as:
Hence, the equation of the table is
Read more about exponential functions at
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Answer:
The value of y for x = 8 is 60 .
Step-by-step explanation:
Given expression as :
For x = 2 , y = 15
Let the equation be written with constant k'
So, y = k x
Or, k =
∴ k =
<u>Now, again </u>
For x = 8
equation can be written as
y = k x
Or, y = × 8
Or, y =
∴ y = 15 × 4
I.e y = 60
Hence The value of y for x = 8 is 60 . Answer