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Function
The average rate of change of
Is this value a good way to describe the population change of the city over that time period? Explain or show your reasoning.
Graph of a function on grid, origin O. Horizontal axis, years since 1930, from 0 to 80 by 5's. Vertical axis, population in thousands, from 0 to 1,500 by 100's. Approximate Plotted coordinates as follows: 0 comma 18, 5 comma 24, 10 comma 32, 15 comma 43, 20 comma 58, 25 comma 77, 30 comma 103, 35 comma 138, 40 comma 185, 45 comma 248, 50 comma 331, 55 comma 444, 60 comma 594, 65 comma 795, 70 comma 1063, 75 comma 1423
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The graph shows a bacteria population decreasing exponentially over time.
The equation
Which bacterial population decays more quickly? Explain how you know.
Graph of a function on grid, origin O. Horizontal axis, time, hours, from 0 to 6 by 1's. Vertical axis, bacteria population, millions, from 0 to 300 by 50's. Plotted coordinates as follows: 0 comma 250, 1 comma 150, 2 comma 90, 3 comma 54, 4 comma 32, 5 comma 19, 6 comma 11.
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Here is a graph of Han’s distance from home as he goes home from a store.
Identify the intercepts of the graph and explain what they mean in terms of Han’s distance from home.
Nonlinear graph, coordinate plane, origin O. Horizontal axis scale 0 to 10 by 5’s, labeled “time (minutes)”. Vertical axis scale 0 to 10 by 5’s, labeled “distance (miles)”. The graph begins at (0 comma 10 and ends near (10 comma 0).
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Quadrilateral
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The average rate of change from year 0 to year 5 is less than the average rate of change from year 10 to year 15.
The average rate of change from year 0 to year 5 is greater than the average rate of change from year 10 to year 15.