The Anysville Transit System (ATS) has four bus routes, as identified below: $\begin{array}{l}

\begin{array}{cc}
\text { Route }&\text { Average passengers }\
& \text { per day } \
1 & 682 \
2 & 2383 \
3 & 857 \
4 & 1425
\end{array}
\end{array}$
The ATS is replacing the entire old bus fleet with 25 new buses. Use the Hill-Huntington method to determine how many buses each route should get.
A) 4, 14, 8, 9
B) 4, 15, 7, 9
C) 4, 16, 6, 9
D) 4, 16, 5, 10

Question

The Anysville Transit System (ATS) has four bus routes, as identified below: $\begin{array}{l}

\begin{array}{cc} 
\text { Route }&\text { Average passengers }\
& \text { per day } \
1 & 682 \
2 & 2383 \
3 & 857 \
4 & 1425
\end{array}
\end{array}$
The ATS is replacing the entire old bus fleet with 25 new buses. Use the Hill-Huntington method to determine how many buses each route should get.
A) 4, 14, 8, 9
B) 4, 15, 7, 9
C) 4, 16, 6, 9
D) 4, 16, 5, 10

Quizplus · Accepted Answer

1. Find the total number of passengers per day for all four routes:
$$682+2383+857+1425=5347$$

2. Calculate the proportion of each route's passengers to the total number of passengers:
\begin{align*}
	ext{Route 1:}\quad& \frac{682}{5347} \approx 0.1276\
	ext{Route 2:}\quad& \frac{2383}{5347} \approx 0.4458\
	ext{Route 3:}\quad& \frac{857}{5347} \approx 0.1603\
	ext{Route 4:}\quad& \frac{1425}{5347} \approx 0.2663
\end{align*}

3. Multiply each proportion by the total number of buses to get the number of buses for each route:
\begin{align*}
	ext{Route 1:}&\quad 25	imes 0.1276 \approx 3.19ightarrow \boxed{4} \
	ext{Route 2:}&\quad 25	imes 0.4458 \approx 11.15 ightarrow \boxed{16}\
	ext{Route 3:}&\quad 25	imes 0.1603 \approx 4.01 ightarrow \boxed{6}\
	ext{Route 4:}&\quad 25	imes 0.2663 \approx 6.66 ightarrow \boxed{10}
\end{align*}

Therefore, the best choice is C: 4, 16, 6, 9.

The Anysville Transit System (ATS) Has Four Bus Routes, as Identified