Answer:
60.12 miles
Explanation:
Using the calculation formula shown below:
[tex]t_{1/2} =\frac{t}{[tex]log_{2}[/tex]\frac{N_{o} }{N_{t} } }[/tex]
where:
[tex]t_{1/2}[/tex] is the half life, [tex]N_{o}[/tex] is the original amount of F-18, and [tex]N_{t}[/tex] is the remaining amount of F-18 at time t.
Generally, F-18 has an half life of 1.83 hours.
Therefore:
[tex]t = 1.83*[tex]log_{2}[/tex]\frac{100}{68} = 1.02 hours[/tex]
Therefore using a speed of 59 miles/hour, the closeness of the hospital is:
distance = speed*time = 59*1.02 = 60.12 miles
