Question #0aaef7aa - SAT Suite Question Bank

ID: 0aaef7aa

Modded SAT Question Bank by Abdullah Mallik

The function $p$ is defined by $p left parenthesis n right parenthesis equals 7 n cubed$ . What is the value of $n$ when $p (n)$ is equal to $56$ ?

$2$
$\frac{8}{3}$
$7$
$8$

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Correct Answer: A

Rationale

Choice A is correct. It's given that $p left parenthesis n right parenthesis equals 7 n cubed$ . Substituting $56$ for $p (n)$ in this equation yields $56 equals 7 n cubed$ . Dividing each side of this equation by $7$ yields $8 equals n cubed$ . Taking the cube root of each side of this equation yields $2 equals n$ . Therefore, when $p (n)$ is equal to $56$ , the value of $n$ is $2$ .

Choice B is incorrect and may result from conceptual or calculation errors.

Choice C is incorrect and may result from conceptual or calculation errors.

Choice D is incorrect and may result from conceptual or calculation errors.

Question Difficulty: Medium