High School

Frederick is half as tall as his older sister, who is 62 inches tall. Let Frederick's height be denoted as \( F \).

Which of the following equations represents Frederick's height (\( F \))?

A. \( F = \frac{1}{2} \times 62 \)
B. \( F = 62 - \frac{1}{2} \)
C. \( F = 62 \times \frac{1}{2} \)
D. \( F = 62 + \frac{1}{2} \)

Answer :

Frederick's height (F) is half of his sister's height, who is 62 inches tall. The correct equation representing Frederick's height is F = 1/2 × 62, which corresponds to option (a).

To determine Frederick's height (F), we need to establish the relationship between his height and his older sister's height. According to the problem, Frederick is half as tall as his sister, who is 62 inches tall. Therefore, to find Frederick's height, we simply take half of his sister's height.

Mathematically, this is represented by the equation F = 1/2 × 62. This matches option (a) from the choices given. Therefore, the correct answer is option a.

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