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

An art contest begins with $320$ entries. In each round, half of the entries still in the contest are cut. Which equation gives the number of entries, $k$, still in the contest after round $r$?

The function $L$ is defined by $L(w) = 180(0.88)^{w/2}$. The function $L$ models the light output, in lumens, from a bulb, where $w$ is the number of weeks the bulb has been in use. According to the model, what is the estimated light output, in lumens, after $2$ weeks of use?

A substance has a half-life of $5$ years. What fraction remains after $10$ years?

The function $s$ is defined by $s(t) = 90(0.60)^{t}$. The function models the number of songs still on a playlist $t$ weeks after a cleanup begins. Which statement is the best interpretation of the decay factor $0.60$ in this context?

The given equation represents the number of points $s$ a team has, where $g$ represents the number of games won.

$s = 3g$

Which of the following is the best interpretation of $3$ in this context?

A tutoring center charges a one-time registration fee plus a fixed amount for each lesson. Let $n$ be the number of lessons and $C$ be the total cost in dollars. The situation is modeled by $C = 35n + 20$. Which is the best interpretation of the number $20$ in this equation?

Bike rental cost, in dollars, for $x$ hours:
$\begin{array}{c|cccc} x & 0 & 1 & 2 & 3 \\ \hline f(x) & 10 & 16 & 22 & 28 \end{array}$
The cost is $f(x)=6x+b\textsf{.}$ What is $b\textsf{?}$

Outdoor temperature, in $^\circ$F, $x$ hours after noon:
$\begin{array}{c|c} x & w(x) \\ \hline 0 & 72 \\ 1 & 69 \\ 2 & 66 \\ 3 & 63 \end{array}$
Which of the following is $w(x)\textsf{?}$