Find the average rate of change for the f (x) = 7 (1.02) ^x for x = 3 to x = 5.

Question

Lisa Beard

Mathematics

24 February, 15:01

Find the average rate of change for the f (x) = 7 (1.02) ^x for x = 3 to x = 5.

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Answers (1)

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Brandon Moreno · Answer 1

At x=3 the y output is 7.428. At x=5 the y output is 7.729. Since te rate of change is rise/run, run being the x, you know that it is (something) over 2. The rise would be the difference of the two y outputs. 7.729-7.428 = 0.301. Therefore, 0.301/2 would be your answer. Checked by y=0.301/2x+6.975 - the two limes line up at x=3 until x=5 exactly.