Solve each proportion. BE SURE TO SHOW YOUR WORK. (4 pts, each) 2. \( \frac{t-5}{4}=\frac{3}{2} \)

To solve the proportion \( \frac{t-5}{4}=\frac{3}{2} \), we can start by cross-multiplying. This means we multiply the numerator of the left fraction by the denominator of the right fraction and the numerator of the right fraction by the denominator of the left fraction: \[ 2(t - 5) = 3 \cdot 4 \] This simplifies to: \[ 2(t - 5) = 12 \] Next, divide both sides by 2: \[ t - 5 = 6 \] Now, to isolate \( t \), add 5 to both sides: \[ t = 6 + 5 \] So, \( t = 11 \). To wrap it up, the solution is \( t = 11 \) and we showed our work through clear steps of cross-multiplication and solving for \( t \).