Graphing

Graphing

Problem 1: Hansel and Gretel leave their house and start walking towards their grandmother’s house. It is exactly 1 mile to grandmother’s house and the entire trip takes about 2 hours ::(including the 30 minutes spent eating brownies with grandmother). You know the following information about the trip: • Once Hansel and Gretel start walking, they do not change their speed. They can stop, though. • After 15 minutes (1/4 of an hour) of walking, Hansel and Gretel were 1/4 of the way to grandmother’s house. • After 30 minutes (1/2 of an hour) of walking, Hansel and Gretel were 1/2 of the way to grandmother’s house. • After 45 minutes (3/4 of an hour) of walking, Hansel and Gretel were 3/4 of the way to grandmother’s house. • Hansel and Gretel reached grandmother’s house after exactly one hour of walking. • When Hansel and Gretel had been at their grandmother’s house for 30 minutes, they realized that they had only 30 minutes to walk back home in time for dinner, and leave grandmother’s house to start walking back home. • They arrived home exactly thirty minutes after they left grandmother’s house.

On a coordinate plane, Construct a graph of Hansel and Gretel’s journey with distance as the dependent variable(y-axis) and time as the independent variable(x-axis). Did they walk faster on the way to grandmother’s house or on the way back from grandmother’s house? How is this illustrated on your graph?

Problem 2:Problem 5: Trip to School Andrew rides his bike to school every day. He is usually not fully awake by the time he leaves, so it takes him time to gain his speed. After about 5 minutes he reaches the stop sign at the end of his road, and has to pause for a minute. He is going to get to school early so he just peddles along for 6 minutes. Suddenly his friend Dietrich comes up behind him and they start racing for 3 minutes . They are both going pretty fast, but then Andrew remembers he left his science project on the table at home. Andrew quickly turns around and speeds back home in 7 minutes to get it. it takes him 1 minute to run into the house and get his paper. Now he has only 6 minutes until the start of school, and is going to be late if he doesn’t hurry. Andrew pedals as fast as he can all the way back to school and makes it to class just in time for the first bell.

On a coordinate plane, Construct a graph of distance as the dependent variable(y-axis) and time as the independent variable(x-axis)

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