The number of self-inflicted distractions 𝑧 that a worker encounters in a workday is inversely proportional to the number of hours of sleep 𝑡 that she receives.

Question

The number of self-inflicted distractions 𝑧 that a worker encounters in a workday is inversely proportional to the number of hours of sleep 𝑡 that she receives. If she only had 4 distractions when she received 12 hours of sleep, then write 𝑧 as a function of 𝑡.

Answer 1

For inversely proportional relationships

z*t=c, where c is a constant.

for z=4 and t=12

c=4*12 or 48

z=c/t

z=48 distraction-hours/t