The percent increase is given by:
![\text{ \%increase=}\frac{\text{ Final value - Starting value }}{\text{Starting value}}*100](https://img.qammunity.org/2023/formulas/mathematics/college/jjkm5kh8o3poi91cwgyza7kbwzna6v3xvo.png)
a. The starting value is $200.
The final value is $330.
The percent increase is then:
![\begin{gathered} \text{ \%increase = }(330-200)/(200)*100=(130)/(200)*100 \\ \text{\%increase = }65\text{ \%} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/t5bfm98np0dl8hc5odsg99f0458v0pg1fe.png)
b. Now, if the airline charges an additional $50 baggage fee to the new ticket, the new final value is: $330 + $50= $380.
Then the percent increase is:
![\begin{gathered} \text{\%increase = }(380-200)/(200)*100=(180)/(200)*100 \\ \text{\%increase = }90\text{ \%} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/w2nlyfz38gi263ev4yj4z9dqskubeoa0e2.png)