2 C
2
3
5
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Spencer and McKenna are on a long-distance bicycle ride. Spencer leaves one hour before McKenna. The graph
below shows each rider's distance in miles from his or her house as a function of time since McKenna left on her
bicycle to catch up with Spencer. (Note: Parts (e), (f), and (g) are challenge problems.)
a Which function represents Spencer's distance? Which
function represents Mckenna's distance? Explain your
50
reasoning
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b. Estimate when McKenna catches up to Spencer. How far
(3,40)
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have they traveled at that point in time?
35
13,36)
One rider is speeding up as time passes and the other one is
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slowing down. Which one is which, and how can you tell
from the graphs?
d.
(0,20)
According to the graphs, what type of function would best
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model each rider's distance?
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Create a function to model each rider's distance as a function
of the time since McKenna started riding her bicycle. Use the
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data points labeled on the graph to create a precise model
for each rider's distance,
Time since McKenna left (hours)
f. What is the meaning of the xx- and yy-intercepts of each rider in the context of this problem?
Estimate which rider is traveling faster 30 minutes after
McKenna started riding. Show work to support your answer.
Distance (miles)
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e
5
(1.4)