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Answered

The ordered pairs (1, 81), (2, 100), (3, 121), (4, 144), and (5, 169) represent a function. What is a rule that represents this function?


y = x^8


y = 8^x


y = (x + 8)^2


y = 8x ...?

Verified Answer :

MissPhiladelphia

To determine what function is the correct answer we use the choices listed above to substitute x and obtain the value of y and see if it corresponds to the given y value. We do as follows:

y = x^8
y = (1)^8
y = 1 ----> NOT THE ANSWER

y = 8^x
y = 8^(1)
y = 8---> NOT THE ANSWER

y = (x + 8)^2
y = (1+8)^2
y = 81

y = 8x
y = 8(1)
y = 8 ---> NOT THE ANSWER

calculista

Answer:

\(y=(x+8)^{2}\)

Step-by-step explanation:

we have that

The ordered pairs \((1, 81), (2, 100), (3, 121), (4, 144)\), and \((5, 169)\) represent a function

The rule that that represent this function is equal to

\(y=(x+8)^{2}\)

Verify

For \(x=1\) -----> Find the value of y in the equation

\(y=(1+8)^{2}=81\) -----> is correct

For \(x=2\) -----> Find the value of y in the equation

\(y=(2+8)^{2}=100\) -----> is correct

For \(x=3\) -----> Find the value of y in the equation

\(y=(3+8)^{2}=121\) -----> is correct

For \(x=4\) -----> Find the value of y in the equation

\(y=(4+8)^{2}=144\) -----> is correct

For \(x=5\) -----> Find the value of y in the equation

\(y=(5+8)^{2}=169\) -----> is correct