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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. *

Answer»

ong>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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