Question

LEAVING A TIP In Exercises \(83-85\), use the following information. You and a friend decide to leave a \(15 \%\) tip for restaurant service. You compute the tip, \(T,\) as \(T=0.15 C,\) where \(C\) represents the cost of the meal. Your friend claims that an easier way to mentally compute the tip is to calculate \(10 \%\) of the cost of the meal plus one half of \(10 \%\) of the cost of the meal. Write an equation that represents your friend's method of computing the tip.

Short answer

The equation that represents the friend's method of computing the tip is \(T=0.10C + 0.05C\).

Step-by-step solution

Identify the two components of the tip calculation

In your friend's method, there are two parts to the calculation: \n1. Calculating the 10% of the cost of the meal: This can be represented as \(0.10C\). \n2. Calculating half of 10% of the cost of the meal: Half of 10% is 5%, so this can be represented as \(0.05C\).

Write the equation

The friend's method of calculating the tip can be written in equation form by adding together the two components identified in Step 1: \(T=0.10C + 0.05C\).