Transformations of graphs
Stories about rides
This task presents stories about vehicles riding
from one place to another.
Construct functions describing the stories,
and complete details that do not appear in the
original stories.
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For each story, construct functions that describe the
motion of each vehicle.
Use the
Translations of lines through the origin tool.
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Examine the functions you constructed and find out:
- For how long did each vehicle travel?
- How many kilometers did each vehicle travel?
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Story 1:
A bike rider left town A and drove to town B at 24 km/hour.
Three hours after the biker set out, a car left town A on the
same road, at 72 km/hour. Both vehicles reached town B at the same time.
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Story 2:
A truck left town A and rode to town C, passing through town B on
the way. Two hours after the truck set out,
a passenger car left town B, which is 40 kilometers away from
town A, and drove to town C along the same road.
Both vehicles reached town C at the same time.
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Story 3:
The road from town A to town C, which passes through
town B, is 412 kilometers long. A cab left town A and drove along this road
at 86 km/hour. Two hours later, a passenger car left town C
in the direction of town A, driving at 74 km/hour. Both cars
passed through town B at the same time.
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