# Question #a73a3

##### 1 Answer

**Answer**:

The exponential function will be

So, ** #a=0.25#** because the hourly minimum wage has the initial value of

(Verification: for

In 2009, after 71 years, the value of the hourly minimum wage is $7.25. Therefore,

So,

In order to find our exponential function, we have to find the value of

Hence, our exponential function is

Based on this model, we can estimate the values of the hourly minimum wage for the other years, by substituting the values of

- for 2015,
#t=77# #=># #y=0.25*(1.0485)^77~~9.5875# - for 2016,
#t=78# #=># #y=0.25 * (1.0485)^78~~10.0525#

This is the graph of the function: