Question

solve the following equation for the indicated variable:
$t = \frac{1}{4}v$, for $v$
options:

1. $v = t + \frac{1}{4}$
2. $v = t - 4$
3. $v = \frac{t}{4}$
4. $v = 4t$

Explanation:

Step1: Multiply both sides by 4

To isolate \( v \), we multiply both sides of the equation \( t = \frac{1}{4}v \) by 4. This gives us \( 4 \times t = 4 \times \frac{1}{4}v \).

Step2: Simplify the equation

Simplifying the right - hand side, \( 4\times\frac{1}{4}v=v \), and the left - hand side is \( 4t \). So we get \( v = 4t \).

Answer:

\( v = 4t \) (corresponding to the option \( v = 4t \))