Answer:
The expected number of jobs is given by the function
[tex]j(t)=230600(1.009)^t[/tex]
Step-by-step explanation:
Given that, there were 230,600 jobs available in the field radiology in the year 2014 and the grow at a rate 0.9% each year.
This is a exponential growth.
Exponential grow function:
[tex]P(t)= P_0(1+r)^t[/tex]
P(t)= Amount after t years
[tex]P_0[/tex] = The initial amount
r= rate of grow
t = Time in year.
Here P(t)= j(t), [tex]P_0[/tex] = 230,600, r=0.9%=0.009, t=t
The expected number of jobs is given by the function
[tex]j(t)=230600(1+0.009)^t[/tex]
[tex]\Rightarrow j(t)=230600(1.009)^t[/tex]
