Solution Manual for Integrated Science 6th Edition by Tillery

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Experiment 1: Graphing
Invitation to Inquiry
The measurement of a quantity that can have different values at different times is called a variable.
For example, the rate of your heartbeat, the number of times you breathe per minute, and your blood
pressure are all variables because they can have different values at different times. In many situations,
there are relationships that occur between variables. The rate of your breathing, for example,
increases when you begin to exercise, so you could say that the breathing rate is in direct proportion
to exercise up to a certain limit.
Measurements of variables that increase or decrease relative to each other are in direct
proportion will yield a straight line on a graph, and this relationship is said to be direct, or linear.
There are more types of relationships between variables, and most can be identified as producing one
of five basic shapes of graphs. These are identified, left to right, as no relationship, linear, inverse,
square, and square root.
After giving the possibilities some thought, look for relationships that might result in (1) a
direct relationship, then (2) something other than a direct relationship. Make measurements, graph
your data, then decide which of the five shapes the graph resembles. For example, compare your
heartbeat rate before climbing any stair. Then after climbing 10 stairs, 20 stairs, and 30 stairs, what is
the shape of a graph comparing the heartbeat rate and the number of stairs climbed? What does this
mean about the relationship between the number of stairs climbed and your heartbeat?
What other relationships can you find in the lab, outside, or between any two variables in
everyday occurrences? Summarize your findings here:
1
x
y
x
y
x
y
x
y
x
y
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