Question

34.7% of city employees ride the bus to work. Last year, 5.2% of city employees rode the bus to work. What is the relative change from last year to this year?

Answer 1

`5.67\%`

Explanation:

The relative change is defined by the following equation:

`Relative\hspace{3}change=(x-x_r_e_f_e_r_e_n_c_e)/(x_r_e_f_e_r_e_n_c_e)` (1)

Where:

`x=Value\hspace{3}of\hspace{3}indicator\hspace{3}in\hspace{3}period\hspace{3}2`

`x_r_e_f_e_r_e_n_c_e=Value\hspace{3}of\hspace{3}indicator\hspace{3}in\hspace{3}period\hspace{3}1`

With this in mind, let's replace the values in the equation (1):

`Relative\hspace{3}change=(34.7-5.2)/(5.2)=(29.5)/(5.2)=5.673076923\approx5.67\%`