Analyzing Points on a Graph

To keep track of his profits, the owner of a carnival booth decided to model his ticket sales on a graph. He found that his profits only declined when he sold between 10 and 40 tickets. Which graph could represent his profits?

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A child is playing outside. The graph below shows the child's distance, d(t), in yards from home over a period of time, t, in seconds.

Which interval represents the child constantly moving closer to home?

• 0 ≤ t ≤ 2

• 2 ≤ t ≤ 3

• 3 ≤ t ≤ 4

• 4 ≤ t ≤ 6

The graph below represents a jogger's speed during her 20-minute jog around her neighborhood.

Which statement best describes what the jogger was doing during the 9 − 12 minute interval of her jog?

• She was standing still.

• She was increasing her speed.

• She was decreasing her speed.

• She was jogging at a constant rate.

The graph below represents a jogger's speed during her 20-minute jog around her neighborhood.

Which statement best describes what the jogger was doing during the 5 − 7 minute interval of her jog?

• She was standing still.

• She was increasing her speed.

• She was decreasing her speed.

• She was jogging at a constant rate.

The graph below represents a jogger's speed during her 20-minute jog around her neighborhood.

Which statement best describes what the jogger was doing during the 12 − 14 minute interval of her jog?

• She was standing still.

• She was increasing her speed.

• She was decreasing her speed.

• She was jogging at a constant rate.

The graph below models Craig's trip to visit his friend in another state. In the course of his travels, he encountered both highway and city driving.

Where was Craig stopped?

• between A and B

• between B and C

• between C and D

• between D and E

The graph below models Craig's trip to visit his friend in another state. In the course of his travels, he encountered both highway and city driving.

Where was Craig driving the fastest?

• between A and B

• between B and C

• between D and E

The graph below models Craig's trip to visit his friend in another state. In the course of his travels, he encountered both highway and city driving.

Where was Craig driving the slowest?

• between A and B

• between B and C

• between D and E

The accompanying graph shows the amount of water left in Rover's water dish over a period of time.

How long did Rover wait from the end of his first drink to the start of his second drink of water?

• 10 seconds

• 30 seconds

• 75 seconds

• 60 seconds

John left his home and walked 3 blocks to his school, as shown in the accompanying graph.

What is one possible interpretation of the section of the graph from point B to point C?

• John arrived at school and stayed throughout the day.

• John waited before crossing a busy street.

• John returned home to get his mathematics homework.

• John reached the top of a hill and began walking on level ground.