Mark the fee as x. Then, make the following equation :
[tex]x + 7 \times 1.2x = 470 \\ x + 8.4 x = 470 \\ 9.4x = 470 \\ x = 470 \div 9.4 \\ x = 50[/tex]
The initial fee is $ 50, and the hourly rate is 1.2 times higher. Thus, the hourly rate is
[tex]50 \times 1.2 = 60[/tex]
Her hourly rate is $60.
