Big Ideas Math: Modeling Real Life, Grade 8
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5. Analyzing and Sketching Graphs
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Exercise 3 Page 303

Practice makes perfect
Graphs can show the relationship between quantities without using specific numbers on the axes. Let's see an example!

Here, the graph represents the relationship between the distance and time. The first line indicates that the distance increases at a constant rate at the beginning of the time. Then the distance stays the same before it decreases at a constant rate for the rest of the time. Now, let's analyze the given graph!

The given graph shows the growth of a plant over time. From the graph, we can see that growth stays the same for a certain amount of time. After that, the growth rate starts to decrease at a constant rate of change until it reaches a minimum. Finally, the growth rate suddenly increases at a constant rate of change.

As we described in Part A, the growth rate changes a lot through the time.

The initial constant growth rate of the plant is due to the slow growth of a seed. After that the growth rate start to decrease because there is some problems with the conditions of water and ground. Once the problems are fixed, the growth rate start to increase at a constant rate.