On a Hot Day, the Air Conditioner in a House $[0,60]$

Essay

On a hot day, the air conditioner in a house quits working and the house begins to heat up. Graph each of the following functions on the interval $[0,60]$ . Use $[0,100]$ for the range of $A(t)$ . Use a graphing calculator to determine the function that best describes the temperature of the house $A(t)$ (in degrees Fahrenheit) $t$ minutes after the air conditioner quits, if the initial temperature of the house was 70 degrees Fahrenheit.
(a) $A(t)=100-30 e^{-.01 t}$
(b) $A(t)=70 \ln (.09 t+1)$
(c) $A(t)=-.03 t^{2}+70$
(d) $A(t)=100-30 e^{.009 t}$