The greenhouse temperatures at certain times are shown in the table. The greenhouse maintains temperatures between 65 degrees F and 85 degrees F. Suppose the temperature increases at a constant rate. Create a graph of the time and temperatures at each hour from 1:00 pm to 8:00 pm. Is the relationship proportional? The answer will be either 1 for proportional or 2 for not proportional. *
Answers
Given : The greenhouse maintains temperatures between 65 degrees F and 85 degrees F. Suppose the temperature increases at a constant rate
To Find : Is the relationship proportional
Solution:
Properties of proportional relation :
A proportional relationship must graph as a line
graph of a proportional relationship must pass through (0, 0).
Each point (or pair) in a proportional relationship must share the same ratio.
y = mx is proportional relation
Time temperature
1 66
6 78.5
8 83.5
The greenhouse maintains temperatures between 65 degrees F and 85 degrees F
the temperature increases at a constant rate
Hence y = 2.5x + 63.5 is the graph hence c ≠ 0
at time 0 temperature is not zero
Hence relationship is not proportional
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