Question

Translate each sentence into an equation.

A number n squared plus 12 is the same as the quotient of p and 4.

Short answer

The equation of the given statement is $12+n^2=\frac{p}{4}$.

Step-by-step solution

Step 1. Given information.

We have a sentence ‘’ A number n squared plus 12 is the same as the quotient of p and 4’’.

Translate the given sentence into an equation.

Step 2. Translate the equation.

The statement, A number n squared plus 12, in algebraic expression can be expressed as

$12+n^2$

And the statement, the quotient of p and 4, can be expressed as

$\frac{p}{4}$

Step 3. Conclusion.

Now, as per the given statement, both the expression found above are the same. So, to get the required equation, just equate both the expressions.

Hence, the equation of the given sentence is:

$12+n^2=\frac{p}{4}$.