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.

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.