Chapter 8.7, Problem 15ES

b Solve.

Drug Overdose. Although primarily used for relief of pain, opioids have addictive properties that often make withdrawal difficult. Deaths through unintentional opioid overdose have risen sharply across the United States since the early 2000s. Ohio, in particular, has an exceptionally high rate of opioid overdose death. The number of deaths in Ohio in year t, where t is the number of years after 2003, can be approximated by

$D\left(t\right)=318{\left(1.19\right)}^t$

Data: The Wall Street Journal, 6/7/2017

a. How many unintentional opioid overdose deaths were there in Ohio in 2013?

b. In what year were there about 3000 unintentional opioid overdose deaths in Ohio?

c. What is the doubling time of unintentional opioid overdose deaths in Ohio?