CPM Homework Help : INT3 Problem 4-118

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4-118.

Write the equation of an exponential function that passes through each pair of points.

$(2,9)$ and $(4,324)$
Step 1(a):
Substitute the points into the equation $y=ab^x$ .
$9 = a \cdot b^2$
$324 = a \cdot b^4$
Step 2(a):
Solve one equation for a and substitute to solve for $b$ .
$a = \frac{9}{b^2}$
Step 3 (a):
Use the value of $b$ to solve for $a$ .
$324 = \bigg(\frac{9}{b^2}\bigg) \cdot b^4$
Answer (a):
$y = 0.25 \cdot 6^x$

$(-1,40)$ and $(0,12)$
Hint (b):
Follow the same process as the steps given in part (a).

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