Question

for the inverse variation equation $p = \frac{8}{v}$, what is the value of $p$ when $v = \frac{1}{4}$?
32 $\frac{1}{2}$ $\frac{1}{32}$
2

Explanation:

Step1: Substitute \( V = \frac{1}{4} \) into the equation

We have the inverse variation equation \( p=\frac{8}{V} \). Substitute \( V = \frac{1}{4} \) into it, so we get \( p=\frac{8}{\frac{1}{4}} \).

Step2: Simplify the division

Recall that dividing by a fraction is the same as multiplying by its reciprocal. So \( \frac{8}{\frac{1}{4}}=8\times4 \).

Step3: Calculate the product

\( 8\times4 = 32 \).

Answer:

32