HSF.LE.B.5 Tutor Intake — Interpreting Linear and Exponential Parameters

The function $C(m) = 3.50m + 15$ models the cost (in dollars) of a taxi ride of $m$ miles.

What does the value $3.50$ represent in this context?

The function $P(t) = 500 \cdot (1.06)^{t}$ models a town's population (in thousands) $t$ years after 2010.

Which statement correctly describes what $1.06$ represents?

The function $T(t) = -2t + 80$ models the temperature (in °F) of a cooling object after $t$ minutes.

What is the initial temperature of the object (in °F) — the temperature at $t = 0$?

The function $V(t) = 24000 \cdot (0.85)^{t}$ models the value of a car (in dollars) $t$ years after purchase.

What is the initial value of the car (in dollars)?

The function $A(t) = 1200 \cdot (1.045)^{t}$ models a bank account balance after $t$ years.

What is the annual percent growth rate? Enter the rate as a percent (e.g., enter $4$ for $4\%$).

The function $N(t) = 800 \cdot (0.92)^{t}$ models the number of magazine subscribers $t$ years after 2015.

By what percent does the subscriber count decrease each year? Enter the percent as a positive number
(e.g., enter $8$ for an $8\%$ decrease).

A population decreases by $15\%$ each year. Which growth/decay factor $b$ correctly models this situation?

The function $C(x) = 0.15x + 45$ models a monthly phone bill (in dollars) where $x$ is the number
of minutes used.

What is the base monthly charge in dollars — the cost when zero minutes are used?