Define appropriate quantities for descriptive modeling.
Verify that variables and units fit an equation
Problem
The equation \(C~=~15t~+~25\) is proposed for a repair bill with a \(25~\text{dollar}\) service fee and \(15~\text{dollars}~\text{per}~\text{hour}\). Match each variable to the correct quantity and decide whether the model fits the situation.
Big Picture
What this problem is really about
Audit the equation term by term using both meaning and units. A rate multiplied by its input should produce the same unit as the fixed term, and their sum determines the left-side output; testing one simple input then checks that the equation’s structure matches the situation rather than merely looking familiar.
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