7.) The temperature of a hot cup of coffee in degrees Fahrenheit is modeled by the function T(t) = 70+ 142ekt, where t is time measured in minutes and T(t) is the temperature (°F). The coffee temperature at 10 minutes was 110° F.
a) Solve for the k value
b) What is the T(t) at 19.5 minutes?
8) Lidocaine is commonly used by dentists to numb a patient's inner cheek or gum. Suppose a person goes to the dentist and receives a dosage of 200 mg and that the half-life of Lidocaine is about 1.5 hours.
a) Solve for k in L(t) = aekt.
b) Create the exponential model L(t) = aekt
c) Using your exponential model from part b, how long will it take for the amount of Lidocaine to reduce to 20 mg? Round final answer to the tenths