The growth of one type of bacteria, over a number of hours, is represented in the following graph. A coordinate plane with the x-axis labeled Time in hours. The y-axis is labeled Number of Bacteria. An exponential function passes through (0, 1), about (2,6), about (3, 16), and about (4, 39).

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In contrast, a type of fungus begins with 4 spores and then increases by 8 spores each hour.

Which has the greater average rate of change over the interval 0≤x≤4, the bacteria or the fungus? Explain.

Be sure to choose the answer that has the correct answer and explanation.