Shelley bought dinner at Guapo's for her family. If the bill was $75.85 and she wanted to leave a 20% tip, what was the total cost of the dinner?
The objective is to calculate the total cost of a dinner bill given the base amount and the tip percentage. The bill for dinner is \(\$75.85\), and the desired tip is \(20\%\). We need to determine the tip amount and then add it to the original bill to find the total expenditure. For the second part of the query, the provided text does not contain sufficient information regarding the coordinates of the point, the axis of reflection, or the translation vector; therefore, a solution cannot be determined for question 10.
To calculate the tip amount, we multiply the original bill by the tip rate expressed as a decimal. The tip rate of \(20\%\) corresponds to \(0.20\).
Thus, the tip amount is:
\[75.85 \times 0.20 = 15.17\]
Rounding to the nearest cent, the tip is \(\$15.17\).
The total cost is obtained by adding the original bill amount to the tip amount:
\[\text{Total} = 75.85 + 15.17 = 91.02\]
The total cost of the dinner, including the tip, is \(\$91.02\). As mentioned, question 10 is incomplete and cannot be solved with the provided information.
Understanding how to calculate tips is a fundamental skill for dining out or handling service-related expenses. For example, if you visit a cafe and your receipt shows a subtotal of \(\$12.50\), and you want to leave a \(15\%\) tip, you multiply \(12.50 \times 0.15 = 1.875\), which rounds to \(\$1.88\). Adding this to the original amount results in a total of \(\$14.38\). This simple math ensures you can quickly determine the correct total for your payments in real-world scenarios.