Question

Volunteer drivers are needed to bring a students to the championship baseball game. Drivers either have cars, which can eat 4 students, or vans which can seat 6 students. The equation 4c +60 80 describes the relationship between the number of carse and number of vans v that can transport exactly so students 3 Explain how you know that this graph represents this equation number of vans 2 4 6 8 10 12 14 16 18 20 22 24 number of cars

Answer 1

One featue of the equation is that when c = 0

`\begin{gathered} 4(0)+6v=80 \\ \therefore v=13.33 \end{gathered}`

The other feature is that when v = 0

`\begin{gathered} 4c+6(0)=80 \\ \therefore c=20 \end{gathered}`

Therefore, our graph must contain the points (0, 13.33) and (20, 0), and looking at the graph given we see that it has exactly those points; hence, the graph represents the equation given