7. In an experiment, a balloon was dropped from various heights and the time it took to fall to the floor was recorded. Height (m) 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 Time (s) 0.3 0.5 0.7 0.9 1.1 1.3 | 1.5 1.7 a) Is the relationship linear? Explain your reasoning. b) Use algebra to determine the equation of the line of best fit. c) Use the line of best fit to determine the time it would take for the balloon to drop to the floor from 5.0 m.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 27SGR
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7. In an experiment, a balloon was dropped from various heights and
the time it took to fall to the floor was recorded.
Height (m) 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0
0.3 0.5 0.7 0.9| 1.1| 1.3 1.5 1.7
Time (s)
a) Is the relationship
linear? Explain
your reasoning.
b) Use algebra to
determine the
equation of the
line of best fit.
c) Use the line
of best fit to
determine the
time it would
take for the
balloon to drop
to the floor from 5.0 m.
Transcribed Image Text:7. In an experiment, a balloon was dropped from various heights and the time it took to fall to the floor was recorded. Height (m) 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 0.3 0.5 0.7 0.9| 1.1| 1.3 1.5 1.7 Time (s) a) Is the relationship linear? Explain your reasoning. b) Use algebra to determine the equation of the line of best fit. c) Use the line of best fit to determine the time it would take for the balloon to drop to the floor from 5.0 m.
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