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Intervals of increasing/decreasing

Total questions: 10

Worksheet time: 5mins

Name
Class
Date
1.

A roller coaster park is open from May to October each year. The graph shows the number of park visitors each day over the course of its season.


Describe what Segment 1 means in the context of this situation?

a)

The attendance during the first weeks of May was constant (the same number of people visited each day).

b)

The attendance increased very quickly over this period of time.

c)

The attendance decreases over this period of time.

d)

The attendance increases slowly and comes to a peak at the end of this period of time.

2.

A roller coaster park is open from May to October each year. The graph shows the number of park visitors each day over the course of its season.


Describe what Segment 2 shows in this context.

a)

The attendance during the first weeks of May was constant (the same number of people visited each day).

b)

The attendance increased very quickly over this period of time.

c)

The attendance decreases over this period of time.

d)

The attendance increases slowly and comes to a peak at the end of this period of time.

3.

A roller coaster park is open from May to October each year. The graph shows the number of park visitors each day over the course of its season.


What happens during segment 3?

a)

The attendance during the first weeks of May was constant (the same number of people visited each day).

b)

The attendance increased very quickly over this period of time.

c)

The attendance decreases over this period of time.

d)

The attendance increases slowly and comes to a peak at the end of this period of time.

4.

A roller coaster park is open from May to October each year. The graph shows the number of park visitors each day over the course of its season.


What happens during segments 4 and 5?

a)

The attendance during the first weeks of May was constant (the same number of people visited each day).

b)

The attendance increased very quickly over this period of time.

c)

The attendance decreases over this period of time.

d)

The attendance increases slowly and comes to a peak at the end of this period of time.

5.

Oliver is hiking a trail that takes him straight up a mountain. He starts his hike at 8 am at the base of the mountain. The distance, d, in miles, that Oliver is from the base of the mountain t hours after starting his hike is shown in the graph.


Between what times is the slope of the graph positive?

a)

The slope of the graph is positive between x = 0 and x = 3 and also between x = 5 and x = 7

b)

The slope is positive between x = 3 and x = 5

6.

Oliver is hiking a trail that takes him straight up a mountain. He starts his hike at 8 am at the base of the mountain. The distance, d, in miles, that Oliver is from the base of the mountain t hours after starting his hike is shown in the graph.


What does it mean to have a positive slope in this context?

a)

Oliver is hiking up the mountain

b)

Oliver is hiking down the mountain

c)

Oliver is taking a break from hiking

7.

Oliver is hiking a trail that takes him straight up a mountain. He starts his hike at 8 am at the base of the mountain. The distance, d, in miles, that Oliver is from the base of the mountain t hours after starting his hike is shown in the graph.


What does it mean to have a 0 slope in this context? (between x = 3 and x = 5 the slope is 0)

a)

Oliver is hiking up the mountain

b)

Oliver is hiking down the mountain

c)

Oliver is taking a break from hiking

8.

Antonio and Juan are in a 4-mile bike race. The graph shows the distance of each racer, in miles, as a function of time, in minutes.


Who wins the race? How do you know?

a)

Juan because he gets to 4 miles first (x = 13)

b)

Antonio because he gets to 4 miles first (x = 15)

c)

they tie because they both get to 4 miles at the same time

9.

The figure below gives the depth of the water at Montauk Point, New York, for a day in November.


How many high tides took place on this day?

a)

1

b)

2

c)

3

d)

0

10.

The figure below gives the depth of the water at Montauk Point, New York, for a day in November.


How many LOW tides took place on this day?

a)

1

b)

2

c)

3

d)

0