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2-72.

Find the equation of an exponential function that passes through each pair of points. 2-72a HW eTool (Desmos) and 2-72b HW eTool (Desmos). Homework Help ✎.

  1. (2, 9) and (4, 324)

    Use the eTool below to help you solve part (a).
    Click the link at right for the full version of the eTool: CCA2 2-72a HW eTool

    Use the equation to help you here. Begin by substituting one of the points for x and y.

    Next, substitute the other ordered pair for x and y.

    Use substitution, and solve for b.

    Now, solve for a.

  2. (−1, 40) and (0, 12)

    Use the eTool below to help you solve part (b).
    Click the link at right for the full version of the eTool: CCA2 2-72b HW eTool

    Look at the hints in part (a).