The broker charges $6.50 per ticket, therefore, the total amount will be directly related to the total number of tickets sold.
The two quantities that are changing in the situation are:
![Total\text{ amount, number of tickets.}](https://img.qammunity.org/2023/formulas/mathematics/college/vvul531mbcl33u9on8cfhy8u8o2l8svccj.png)
Now, the total amount depends on the number of tickets sold, therefore, if we define
![\begin{gathered} Total\text{ amount=T,} \\ number\text{ of tickets=n,} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/2gi4btf0psf1fpboqqnvdzw9aueg3g2o3s.png)
we can set the following equation:
![T=6.50n.](https://img.qammunity.org/2023/formulas/mathematics/college/xp2pxl1e79nmm7wnp9n9wqtlz1vimuap7z.png)
Answer:
Part a) Total amount, and the number of tickets.
Part b)
![\begin{gathered} Total\text{ amount =T,} \\ number\text{ of tickets=n.} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/jfzsfvugioovqqao7xr3qy7pis0dhpaod1.png)
T is the dependant variable, and n is the independent variable.
Part c)
![T=6.50n.](https://img.qammunity.org/2023/formulas/mathematics/college/xp2pxl1e79nmm7wnp9n9wqtlz1vimuap7z.png)