This page shows questions in the Alg II Building Functions public release module at MSDE. Algebra 2
"Alg II Building Functions"

The function $f$ is defined by $f\left(x\right)=2x+5$ .

If $f\left(a\right)=c$ , which of the following equations gives the value of $a$ in terms of $c$ ?

Select one answer.

The function $C$ approximates the number of calories recommended per day for a dog, based on the weight, in pounds, of the dog.

The table gives values of $C$ for selected values of $p\text{,}$ where $C\left(p\right)$ represents the recommended number of calories per day for a dog that weighs $p$ pounds.

Recommended Number of Calories for Dogs
$p$ (pounds)	$C\left(p\right)$
$11$	$250$
$22$	$450$
$33$	$750$
$44$	$1000$
$55$	$1250$
$66$	$1500$
$77$	$1700$
$88$	$1880$

Which of the equations shown most closely approximates $C\text{?}$

A kitchen supply store sells a set of $4$ food storage containers.

• From largest to smallest, the volumes of the containers are $v_1\text{,}$ $v_2\text{,}$ $v_3\text{,}$ and $v_4\text{.}$

• $v_n$ is $20\%$ less than $v_{n-1}\text{,}$ where $n$ is $2\text{,}$ $3\text{,}$ or $4\text{.}$

• $v_n=k{v}_{n-1}\text{,}$ where $n$ is $2\text{,}$ $3\text{,}$ or $4\text{.}$

What is the value of $k\text{?}$

Enter your answer as a fraction in the spaces provided.

fraction bar

$$ \rule[0.4cm]{3.5cm}{0.5mm} $$