Determine the relationship between x and y given the following pairs: (1, −9), (9, −81), (11, −99).

Question

ScanSolve AI Tutor · Accepted Answer

Step 1: Examine the given input values (x) and their corresponding output values (y). We have the following pairs: When x=1, y=−9; When x=9, y=−81; When x=11, y=−99 Step 2: Look for a consistent mathematical operation that transforms each input value into its respective output value. Let's test multiplication: For the first pair: 1 × (−9) = −9. For the second pair: 9 × (−9) = −81. For the third pair: 11 × (−9) = −99. Step 3: Confirm that the operation is consistent across all pairs. The operation of multiplying the input value by −9 consistently produces the given output values. Step 4: State the rule or relationship. The rule is that the output value (y) is equal to the input value (x) multiplied by −9. The rule or relationship is: y = −9x; The final answer is y = −9x.

Determine the relationship between x and y given the following pairs: (1, -9), (9, -81), (11, -99).

Answer

Step-by-step solution

Examine the given input values ( $x$ ) and their corresponding output values ( $y$ ).

Look for a consistent mathematical operation that transforms each input value into its respective output value.

Confirm that the operation is consistent across all pairs.

State the rule or relationship.

Try one yourself

Still stuck on this one?

More Mathematics Questions