Analyzing functional relationships between graphs

Which runner had a head start?

• A
• B
• C

Describe the situation.

• The volume of the balloon increases at a constant rate, then stays constant, then increases, then constant, and increases at a constant rate.
• The volume of the balloon increase at a constant rate, decreases, then stays constant, then increases, then constant, and increases at a constant rate.  

Describe the situation.

• The volume of the balloon increases at a constant rate, then stays constant, then increases, then constant, and increases at a constant rate.
• The volume of the balloon increase at a constant rate, decreases, then stays constant, then increases, then constant, and increases at a constant rate.  

Describe the situation.

• Sales decrease quickly at a constant rate, and then increase slowly at a constant rate.
• Sales stay constant, then decrease at a constant rate, and increase slowly.  

Mary walked at a steady pace toward the car.

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Nancy first walked toward the car and then away from it.

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• Sophia starts driving home, stops on the way to pick up a friend, and then continues driving home.

• Sophia starts driving home, stops two times on the way home (each time staying in each store for a few mins, and then drive home.

• Sophia starts driving home, realized she forgot her phone at work, drives back to work, goes in to get her phone, and then drives home.

• Sophia walks to the bus stop, waits for the bus, and then takes bus home.

The battery life for Jacob's laptop decreases as he uses it while unplugged until it finally dies. It takes Jacob a while to find the charger. We he finally plugs it in, the batter charges and gains more batter life.

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Mica takes a train from New Jersey to visit his friend in Maine. What part of the graph was Mica in the train station in New Jersey?

• I

• II

• III

• V

 Every morning, Tom walks along a straight road from his home to the bus stop. Below, is a graph representing Tom’s trip to school.
- Was Tom walking, jogging, or sprinting during segment 1, which is between 0 seconds and 50 seconds?

• walking
• jogging
• sprinting