Question

Jamilia has a weather station in her backyard. She uses a rain gauge to track the total rainfall during two storms.


1: Jamilia graphs the function describing mondays rainfall. Is the graph linear or nonlinear? How do you know?


2: what is the real-world meaning of the slope of the graph?

3: Next, Jamilia graphs the function describing Thursday’s rainfall. Is this graph linear or nonlinear? How do you know?

4: What does the y-intercept of the graph or Monday’s storm mean? Does the y-intercept of the graph of Thursday’s storm have the same meaning?

Answer 1

Answer:

1. The graph is linear because the precipitation increases at a steady rate of 3 mm every 15 minutes, or 0.2 mm per minute.

2.The slope of a line tells us how something changes over time, if the slope is found, the rate of change can be found. In this case it is telling us how the rain increases over time.

3.The graph is nonlinear. Because the rainfall total does not change at a constant rate, the points do not form a line.

4.The y intercept means the total rain that was present at the start of her recording, this means there was no rain when she first started her experiment.

Step-by-step explanation:

Answer 2

A linear function is such that has a constant rate, while a nonlinear function does not have a constant rate.

1. Monday rainfall

From the table that represents Monday rainfall, we have the following observations

• As the time increases, the precipitation increases at constant interval.
• Time increases constantly by 15 minutes, precipitation increases constantly by 3 mm

This means that, the graph is a linear graph.

2. The slope

The slope in this case, is the amount of precipitation in one minute

3. Thursday rainfall

From the table that represents Thursday rainfall, we have the following observations

• As the time increases, the precipitation increases
• Time and precipitation do not increase constantly

This means that, the graph is a nonlinear graph.

4. The y-intercept

This is the value of precipitation when the time is 0

From the table,

The precipitation at 0 minute is 0

Hence, the y-intercept, is 0

And yes, both graphs have the same y-intercept

Read more about linear and nonlinear graphs at:

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