Question

There were 600 jobs available in the field of radiology in the year 2014. Each year, that number is expected to grow by 9%. Write a function that gives the expected number of jobs in radiology from the year 2014 Do not use commas in your answer. j(t)=j(t)=j, left parenthesis, t, right parenthesis, equals

Answer 1

j(t)=600*1.09ᵗ⁻¹

Explanation:

In 2014, there were 600 jobs.

The next year, the number is expected to grow by 9%.

Since the growth rate is a percentage, this is an example of a geometric sequence.

The nth term of a Geometric Progression is given as:

Uₙ=arⁿ⁻¹

In the first year, population =600

r=(100+9)%=1.09

Therefore the function j(t) that gives the expected number of jobs from the year 2014 is given as:

Uₙ=arⁿ⁻¹

j(t)=600*1.09ᵗ⁻¹ where t=1,2,3...

The value of t=1 is for the year 2014.