which rule describes the relationship between the input and output pairs in the following table?\ninput…

which rule describes the relationship between the input and output pairs in the following table?\ninput output\n9 7\n8 5\n7 3\nchoose 1 answer:\na subtract 2 from the input to get the output.\nb multiply the input by 0. then add 5 to the result to get the output.\nc multiply the input by 2. then subtract 11 from the result to get the output.

which rule describes the relationship between the input and output pairs in the following table?\ninput output\n9 7\n8 5\n7 3\nchoose 1 answer:\na subtract 2 from the input to get the output.\nb multiply the input by 0. then add 5 to the result to get the output.\nc multiply the input by 2. then subtract 11 from the result to get the output.

Answer

Explanation:

Step1: Test option A

For input = 9, output should be $9 - 2=7$; for input = 8, output should be $8 - 2 = 6\neq5$. So option A is wrong.

Step2: Test option B

For any input $x$, if we multiply by 0 and add 5, the output is always 5. But the outputs in the table are not all 5. So option B is wrong.

Step3: Test option C

For input $x = 9$, $2\times9-11=18 - 11=7$; for input $x = 8$, $2\times8-11=16 - 11 = 5$; for input $x = 7$, $2\times7-11=14 - 11=3$. Option C is correct.

Answer:

C. Multiply the input by 2. Then subtract 11 from the result to get the output.