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Mrs. Knight's blology class is performing an experiment to determine how mold is affected by different substances. The results of one

of their trials is shown in the scatter plot below.
Number of Mold Spores
100
90
80
70
60
50
40
30
20
10
y
0 1 2
Which type of function would best model this data?
3
4
56
Hours
8
9 10

1 Answer

1 vote

Answer: Based on the given scatter plot, it appears that the relationship between the number of mold spores and the number of hours is non-linear and may be better represented by an exponential function rather than a linear function. Therefore, option 4 (an exponential function) would best model this data.

Step-by-step explanation: In the given scatter plot, the number of mold spores is decreasing as the number of hours increases, but not at a constant rate. This indicates that the relationship between the two variables is non-linear.

An exponential function is a type of non-linear function that has the general form:

y = ab^x

where a and b are constants and x is the input variable. In this case, we can think of the number of mold spores as the output variable (y) and the number of hours as the input variable (x).

An exponential function is a good choice for modeling this data because it captures the idea that the rate of mold growth (or decay) changes over time. For example, when there are many mold spores present, the rate of growth may slow down due to competition for resources, and as the number of spores decreases, the rate of decay may also slow down due to the decreased availability of food for the mold.

In contrast, a linear function (such as a straight line) assumes that the rate of change is constant over time, which does not seem to be the case for this data. Therefore, an exponential function would be a better fit for modeling the relationship between the number of mold spores and the number of hours in this experiment.

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