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Use the table to answer the question.Write the exponential equation that contains the points shown in the table.Points for an Exponential Equationx y−1 102 2 2160(1 point)The equation is $$y=·.Check answerRemaining Attempts : 3Graphing Calculator
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Assume the points are (-1, 10) and (2, 160). Let y = a b^x. From x = −1: 10 = a b^(−1) ⇒ a = 10b. From x = 2: 160 = a b^2 = 10b·b^2 = 10 b^3 ⇒ b^3 = 16 ⇒ b = 16^(1/3).
Thus a = 10·16^(1/3) and
y = a b^x = 10·16^(1/3) · (16^(1/3))^x = 10·16^{(x+1)/3}.
(Equivalent form: y = 10 · 2^{4(x+1)/3}.)
If I misread the table, tell me the exact points and I’ll redo it.
Thus a = 10·16^(1/3) and
y = a b^x = 10·16^(1/3) · (16^(1/3))^x = 10·16^{(x+1)/3}.
(Equivalent form: y = 10 · 2^{4(x+1)/3}.)
If I misread the table, tell me the exact points and I’ll redo it.
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