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Answer
\( c = wt + w \)
Solution
To find the value of \( c \) in terms of \( t \) when \( c = wt + w \), we can substitute the given expression for \( c \) into the equation.
Given:
\( c = wt + w \)
Substitute \( c = wt + w \) into the equation:
\( wt + w = wt + w \)
Simplifying the equation, we can see that both sides are equal, so the value of \( c \) in terms of \( t \) is \( c = wt + w \).
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Simplify this solution Mind Expander
To isolate \( t \) in the equation \( c = wt + w \), start by subtracting \( w \) from both sides: \( c - w = wt \). Next, divide both sides by \( w \) (assuming \( w \neq 0 \)): \( t = \frac{c - w}{w} \). Voilà! You've neatly solved for \( t \)! This equation can come in handy in fields like finance or physics where understanding the relationship between constants and variables can lead to more efficient problem solving. For example, if \( c \) represents total costs in a project (including fixed costs as \( w \)), you get insights into how time influences your variable costs, making budgeting much more straightforward!
