Professor Trey Angle writes the equation y=10000 (0.75) x on the chalkboard to introduce exponential decay to their students. They explain how when x = 0, y = 10000 and when x = 1, y = 7500. Finish his next statement: "As one gets larger, the other gets smaller. So If x = 3, then y =, which is under half the original value.

Question

Mathematics

Melina Choi

22 February, 14:21

Professor Trey Angle writes the equation y=10000 (0.75) x on the chalkboard to introduce exponential decay to their students. They explain how when x = 0, y = 10000 and when x = 1, y = 7500. Finish his next statement: "As one gets larger, the other gets smaller. So If x = 3, then y =, which is under half the original value.

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Answers (1)

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Gunnar Webster · Answer 1

"As one gets larger, the other gets smaller. So if x = 3, then y = 4218.8, which is under half the original value."

Step-by-step explanation:

In order to complete the sentence we must find the value of "y" when x = 3. We have:

y = 10000 * (0.75) ^3

y = 4218.8

The sentence then is:

"As one gets larger, the other gets smaller. So if x = 3, then y = 4218.8, which is under half the original value."