Question

The number of female nurses in a country can be predicted using the function f(t)=7,300 + 25t, where t is the number of years since 2000. The number of male nurses can be predicted using the function m(t) = 2,500(1.02)t, where t is the number of years since 2000. About how many years will it take before the number of male nurses is expected to exceed the number of female nurses?

Answer 1

Answer:

2.9 years

Step-by-step explanation:

Female nurses function f(t)= 7300 + 25t

Male nurses function m(t) = 2500 (1.02)t = 2550t

In order to make the male nurses exceed female nurses we need to create the inequality like

Male nurses $\geq$ female nurses

2550t  $\geq$   7300 + 25t

2525t   $\geq$   7300

t $\geq$   $\frac{7300}{2525}$

t $\geq$  2.891 ≈ 2.9 years

So in 2.9 years the No of Male nurses will exceed female nurses

Let check our answer

Female nurse after 2.9 years = 7300 + 25*2.9 = 7372.5

Male nurses after 2.9 years = 2550.2.9 = 7395

Clearly male nurses are more that female nurses after 2.9 years