Chapter 8.1, Problem 19CYU

a.

To determine

To write an equation for the number of students who drove to the destination.

Answer to Problem 19CYU

  $T=3n+7$

Explanation of Solution

Given:

Total number of students traveled, $T=14n+21$ .

Number of students who flew to the destination, $F=8n+7$ .

Concept used:

Number of students who drove to the destination, $D=T-F$ .

Calculation: Number of students who drove to the destination is given by $D=T-F.$

  $\begin{array}{l}\Rightarrow D=\left(14n+21\right)-\left(8n+7\right)\\ \Rightarrow D=14n+21-8n-7\\ \Rightarrow D=14n-8n+21-7\\ \Rightarrow D=6n+14\end{array}$

Conclusion:

Therefore, number of students who drove to the destination is modeled by the equation

  $D=6n+14$ .