16. Medicine Every hour \( 72 \% \) of a medication leaves the body. You initially take \( 80 mg \) of the medicine.
a.Write an equation:
b. How much is left after the initial hour?
c. Find \( f ( 6 ) \) . Write a sentence to explain what the answer means.
d.) How long until quarter of the initial dose remains?
a.
if the number of hours is h,
\(y = 80(0.72)^h\)
b.
After one hour = 80(0.72) = 57.6 mg
c.
11.15 mg. The amount of the medication left after 6 hours is 11.15 mg
d.
After 4.22 hours
Joe earns \( \$ 9 \) per hour. He worked \( x \) hours on both Wednesday and Friday, and \( 8 \) hours on both Tuesday and Saturday. Write an expression to represent how much Joe earned.
If a virus spreads at a rate that can be modeled by the exponential function \( A ( t ) = ae ^ { r t } \) , how many people will be infected after \( 5 \) days if initially \( 3 \) people are infected and the growth rate is \( 40 \% \) ?
