CPM Homework Help : AC Problem 4-16

Copy and complete the table below.

IN (x)

$2$

$10$

$6$

$7$

$-3$

$-10$

$1000$

$x$

OUT (y)

$9\$

$25$

$17$

$15$

Hint:

Look for a pattern between the input numbers and output numbers.

Answers:

IN (x)	$2$	$10$	$6$	$7$	$-3$	$\mathbf{\color{red}{5}}$	$-10$	$1000$	$x$
OUT (y)	$9\$	$25$	$17$	$\mathbf{\color{red}{19}}$	$\color{red}{\boldsymbol{-1}}$	$15$	$\color{red}{\boldsymbol{-15}}$	$\color{red}{\boldsymbol{2005}}$	$\color{red}{\boldsymbol{2x + 5}}$

Explain in words what is done to the input value $(x)$ to produce the output value $(y)$ .
Hint (a):
Describe the pattern you found in the table in words.
Write the rule you described in part (a) with algebraic symbols.
Hint (b):
Describe the pattern you found in the table in numbers.
More Help (b):
What did you write in the OUT $(y)$ entry for the column in the IN $(x)$ row labeled $x$ ?

Use the eTool below to help you with this problem.
Click on the link at right for the full eTool version: 4-16 HW eTool (Desmos)