1. The graph shows the height of a plant after a certain amount of time measured in days. Do you think that there may be a proportional relationship between the number of days and the height of the plant? Explain your reasoning. The graph shows how much snow fell after a certain amount of time measured in hours. 2. Do you think that there may be a proportional relationship between the number of hours and the amount of snow that fell? Explain your reasoning.

A graph represents a proportional relationship if the output variable y in the y-axis can be written as a product of the input variable x in the x-axis and the constant of proportionality k, as follows:

y = kx.

Item 1

Between days 0 and 10, the plant grew by 4 centimeters.

Between days 30 and 40, the plant grew by 8 centimeters.

For the first case, the rate of change is of:

k = 4/10 = 0.4.

For the second case, the rate of change is of:

k = 8/10 = 0.8.

Different rates, hence cannot be written as proportional relationship.

Item 2

Between hours 0 and 2, the amount of snow grew by 2 inches.

Between days 2 and 4, the amount of snow remained constant at 2 inches.

Hence the rates for each interval are given as follows:

Hours 0 - 2: 2/2 = 1 inch a hour.

Hours 2 - 4: 0/2 = 0 inches a hour.

Different rates, hence it is not a proportional relationship.

What is the missing information?

The graphs are missing and are given by the image inserted at the end of the answer.

More can be learned about proportional relationships at https://brainly.com/question/10424180

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