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What number should replace the A?

Mathematics

ScanSolve AI Answer

Answer

7\text{7}

Step-by-step solution

4 steps
  1. Analyze the given input and output pairs to find the rule.

    • When the input is 1, the output is 2.
    • When the input is 2, the output is 4.
    • When the input is 5, the output is 10.
  2. Determine the function rule.

    In each case, the output is twice the input. So, the rule is "multiply by 2".
    We can write this as f(x)=2xf(x) = 2x.

  3. Use the rule to find the missing input 'A'.

    We are given that the output for input 'A' is 14.
    So, we set up the equation:

    2×A=142 \times A = 14
  4. Solve for A.

    Divide both sides by 2:

    A=142A = \frac{14}{2} A=7A = 7

    The number that should replace A is 7\text{7}.

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