Problem

Use the clues in the graph at right to write a possible corresponding equation in \( y=a b^{x} \) form. Homework Help:
\[
8-70
\]

Answer

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Answer

Solve the system of equations for a and b, then construct the equation: \(y = 8b^{x}\)

Steps

Step 1 :Identify two points on the graph: \((x_1, y_1) = (0, 8)\),\((x_2, y_2) = (1, 70)\)

Step 2 :By substituting the points, write the two equations: \(8 = ab^{0}\), \(70 = ab^{1}\)

Step 3 :Solve the system of equations for a and b, then construct the equation: \(y = 8b^{x}\)

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