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The IQ (intelligence quotient) is found by dividing the mental age (MA) by the chronological age (CA) and multiplying by 100.

For example, if a child has a mental age of 12 and a chronological age of 8, the calculated IQ is 150.

If a 7-year-old girl has an IQ of 150, compute her mental age.

Write the equation required to find the solution, using \(x\) to represent the mental age of the girl.

Answer :

Final answer:

To find the mental age of a 7-year-old girl with an IQ of 150, you can use the formula for IQ. By rearranging the equation, you can determine that her mental age is 10.5.

Explanation:

To find the mental age of a 7-year-old girl with an IQ of 150, we can use the formula for IQ: IQ = mental age ÷ chronological age × 100. Let's represent the chronological age of the girl as x. So, the equation becomes: 150 = mental age ÷ x × 100.

To solve for the mental age, we need to isolate it. We can do this by rearranging the equation: mental age = 150 × x ÷ 100.

Now, substitute the given chronological age of the girl (7) into the equation: mental age = 150 × 7 ÷ 100 = 10.5.

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