Q1. - Algebra 1

Question

A pilot at an air show charges $25 per passenger for rides. If 12 adults and 15 children ride in one day, write and evaluate an expression to describe the situation.

Step-by-Step Solution

Answer

The expression for air show charge is $\mathit{C}\mathbf{=}\mathit{\$}\mathbf{55}\mathit{P}$, and the total air show charges for one day is $\mathit{\$}\mathbf{1485}$.

Step 1. Calculate the total number of passengers.

The total number of passengers (let’s say P) is the sum of the total number of adults and the total number of students. Thus, the total number of passengers is calculated as follows:

 $$\begin{gathered} P=Adults+Children \\ =12+15 \\ =27 \end{gathered}$$

Step 2. Write the expression.

The air show charge is $55 per passenger. So, the total charges (let’s say C) can be calculated by the multiplication of total passengers. Thus, the expression for the total charge is expressed as follows:

$C=\$55P$

Step 3. Evaluate the total air show charges for one day.

Total 27 passengers ride in one day. So, the total charges for an air show in one day will be calculated as follows:

$\begin{array}{l}C=\$55\left(27\right)\\ =\$1485\end{array}$