CPM Homework Help : AC Problem 3-26

Each table below represents an exponential function of the form $y = ab^x$ . Copy and complete each table on your paper and find the corresponding equation.

$x$
$y$
$0$
$1$
$2$
$3$
$4$
$1.8$
$5.76$
$18.432$
Hint (a):
What is the multiplier?
Answer (a):
$x$
$y$
$0$
$1$
$2$
$3$
$4$
$1.8$
$5.76$
$18.432$
$\boldsymbol{58.982}$
$\boldsymbol{188.744}$
$y = 1.8(3.2)^x$

$x$
$y$
$0$
$1$
$2$
$3$
$4$
$5$

$245$

Hint (b):

$5 · m · m = 245$
Solve for $m$ .

Answer (b):

$x$	$y$
$0$ $1$ $2$ $3$ $4$	$5$ $\boldsymbol{35}$ $245$ $\boldsymbol{1715}$ $\boldsymbol{12{,}005}$

$y=5⋅7^x$