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
$0$
$1.8$
$1$
$5.76$
$2$
$18.432$
$3$
$4$

Hint (a):
What is the multiplier?
Answer (a):
$y = 1.8(3.2)^x$
x
y
$0$

$1.8$

$1$
$5.76$
$2$
$18.432$
$3$
$\boldsymbol{58.982}$
$4$
$\boldsymbol{188.744}$

x	y
$0$	$1.8$
$1$	$5.76$
$2$	$18.432$
$3$
$4$

x	y
$0$	$1.8$
$1$	$5.76$
$2$	$18.432$
$3$	$\boldsymbol{58.982}$
$4$	$\boldsymbol{188.744}$

x
y
$0$
$5$
$1$
$2$
$245$
$3$
$4$

Hint (b):

$5 · m · m = 245$
Solve for $m$ .

Answer (b):

$y=5⋅7^x$

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