NJSLA Algebra II Linear, Quadratic, and Exponential Models. Practice it free.

A forest preserve had $4{,}000$ acres of woodland in $2010$. Each year from $2010$ through $2020$, a model estimates that the woodland area decreased by $5\%$ of the area the previous year. Which equation defines this model, where $a(t)$ is the estimated woodland area, in acres, $t$ years after $2010$?

The function $h$ is defined by $h(t) = 125(1.18)^t$. The function $h$ models the number of members in a club, where $t$ is the number of years after the club was founded. According to the model, what is the estimated number of members when the club was founded?

A substance has a half-life of $4$ years. What fraction remains after $12$ years?

The function $r$ is defined by $r(t) = 60(1.09)^{t}$. The function models the number of registered runners in a charity race $t$ years after the first race. Which statement is the best interpretation of the growth factor $1.09$ in this context?

The given equation represents the weight $W$, in ounces, where $n$ represents the number of identical snack bags.

$W = 3.2n$

Which of the following is the best interpretation of $3.2$ in this context?

A bakery has $50$ ounces of flour to make muffins and cookies. The baker uses the equation $4m + 2k = 50$ to figure out how many muffins, $m$, and how many cookies, $k$, can be made. Which is the best interpretation of the number $4$ in this equation?

Taxi cost, in dollars, after $x$ miles:
$\begin{array}{c|c} x & f(x) \\ \hline 1 & 6 \\ 2 & 10 \\ 3 & 14 \\ 4 & 18 \end{array}$
The cost is $f(x)=mx+2\textsf{.}$ What is $m\textsf{?}$

The table shows values of a linear function $n\textsf{.}$
$\begin{array}{c|cccc} x & 2 & 4 & 6 & 8 \\ \hline n(x) & 11 & 15 & 19 & 23 \end{array}$
Which of the following is $n(x)\textsf{?}$