Problem 68 - College Algebra Essentials

Question

Solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe? $$S=P+P r t \text { for } t$$

Step-by-Step Solution

Answer

The reformulated equation solving for 't' is \(t =(S - P) / (Pr) \). The formula represents an elementary financial concept: simple interest.

Step 1: Initialization

Start with the given equation: \(S = P + Prt\)

Step 2: Rearrange the Equation

Rearrange the equation by moving 'P' to the left side of the equation: \(S - P = Prt\)

Step 3: Isolate Term with 't'

Divide both sides of the equation by 'Pr' to isolate 't' on one side: \(t =(S - P)/(Pr) \)