Question

during her vacation in maine, brooke went on two boat tours: a whale - watching tour and a historic tour. these graphs show the distance each tour traveled over time. complete the table. answer each question by selecting one or both tours.

Explanation:

Step1: Check total distance

For the whale - watching tour, the maximum \(d\) (distance) value is \(20\) miles. For the historic tour, the maximum \(d\) value is \(14\) miles. So the whale - watching tour traveled a total of \(20\) miles.

Step2: Check for stop (horizontal line)

A stop is indicated by a horizontal line (where \(d\) does not change with \(t\)). The historic tour has a horizontal segment (from approximately \(t = 60\) to \(t=100\)), while the whale - watching tour does not.

Step3: Calculate speed in \(t = 0\) to \(t = 60\)

Speed \(v=\frac{\Delta d}{\Delta t}\). For the whale - watching tour: at \(t = 0,d = 0\); at \(t = 60,d = 12\). \(v_{1}=\frac{12 - 0}{60-0}=\frac{12}{60}=0.2\) miles per minute. For the historic tour: at \(t = 0,d = 0\); at \(t = 60,d = 4\). \(v_{2}=\frac{4 - 0}{60 - 0}=\frac{4}{60}\approx0.07\) miles per minute. So the whale - watching tour is faster in \(t = 0\) to \(t = 60\).

Step4: Compare total distances

The whale - watching tour has a total distance of \(20\) miles and the historic tour has a total distance of \(14\) miles. So the historic tour traveled the shorter distance.

Answer:

	Whale - watching tour	Historic tour
Which tour stopped for a period of time?		\(\boxed{\text{Checked}}\)
Which tour was faster in the interval from \(t = 0\) to \(t = 60\)?	\(\boxed{\text{Checked}}\)
Which tour traveled the shorter distance?		\(\boxed{\text{Checked}}\)