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Use the table to answer the question.
Write the exponential equation that contains the points shown in the table.
Table of Values for a Exponential Equation
x y
−1
200
2 0.675
(1 point)
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GPT-5 mini
AI
y = 30(0.15)^x
Work: Let y = a b^x. From x = −1, a/b = 200 → a = 200b. From x = 2, a b^2 = 0.675 → 200 b^3 = 0.675 → b^3 = 0.003375 → b = 0.15, so a = 200(0.15) = 30.
Work: Let y = a b^x. From x = −1, a/b = 200 → a = 200b. From x = 2, a b^2 = 0.675 → 200 b^3 = 0.675 → b^3 = 0.003375 → b = 0.15, so a = 200(0.15) = 30.
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