Chapter 11, Problem 9CA

a.

To determine

To estimate: D(2) and then to interpret it.

Answer to Problem 9CA

  $D(2)=500$ .

Explanation of Solution

Given Information: A graph corresponding to the situation.

It is clearly visible in the graph that $D(2)=500$ .

This implies that the traveler walked $500ft.$ in first two minutes.

b.

To determine

To find: The solution of the given equation and then to explain the meaning of the solution.

Answer to Problem 9CA

  $x=15$ . This means that the traveler covered a distance of $3500ft.$ in $15\min .$ and the traveler has arrived at the airport terminal.

Explanation of Solution

Given Information: Equation $D(x)=3500$ , a graph corresponding to the situation.

It can be observed in the graph that when $y=3500$ , $x=15$ .

  $\Rightarrow D(15)=3500$

This means that the traveler covered a distance of $3500ft.$ in $15\min .$ and the traveler has arrived at the airport terminal.

c.

To determine

To find: The time for which the traveler waits for the shuttle bus.

Answer to Problem 9CA

Waiting time is $8\text{minutes}$ .

Explanation of Solution

Given Information: A graph corresponding to the situation.

After covering a distance of $1000ft.$ a horizontal/flat line can be observed in the graph, this corresponds to the waiting time. It was from $4\min .$ to $12\min .$

  $\Rightarrow$ Waiting time $=12-4$

  $=8\text{minutes}$

Thus, waiting time is $8\text{minutes}$ .

d.

To determine

To find: The distance covered by traveler on shuttle bus.

Answer to Problem 9CA

The distance covered by the traveler on shuttle bus is $2000ft$ .

Explanation of Solution

Given Information: A graph corresponding to the situation.

The point $(12,1000)$ marks the beginning of a steep slope which carries on until the point $(13,3000)$ .

  $\Rightarrow$ Distance covered on shuttle bus $=3000-1000$

  $=2000ft.$

Thus, the distance covered by the traveler on shuttle bus is $2000ft$ .

e.

To determine

To find: The total distance that traveler covers by foot.

Answer to Problem 9CA

The total distance that the traveler walks before and after riding the shuttle bus is equal to $1500feet$ .

Explanation of Solution

Given Information: A graph corresponding to the situation.

The point $(0,0)$ marks the beginning of a less steep slope which goes on until the point $(4,1000)$ , the point $(13,3000)$ marks the beginning of another less steep slope which goes on until $(15,3500)$ .

  $\Rightarrow$ Distance covered by foot $=(1000-0)+(3500-3000)$

  $=1000+500$

  $=1500ft.$

Thus, the total distance that the traveler walks before and after riding the shuttle bus is equal to $1500feet$ .