P=12.95N-750
Explanation
The formula to calculate profit is:
Profit=Total Revenue - Total Expenses
Step 1
a)let
N the number of books
![\begin{gathered} C\text{ost=}C=18.95N+750 \\ Profit=P(N) \\ Revenue=R=31.90 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/urv3pph2cxjnln4c4jbfrzmv1odce31vjr.png)
b) now replace ( relates P to N)
Profit=Total Revenue - Total Expenses
![\begin{gathered} P(N)=31.90N-(18.95N+750) \\ break\text{ the parenthesis} \\ P(N)=31.90N-18.95N-750 \\ add\text{ like terms} \\ P\left(N\right)=12.95N-750 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/c656p6nvfgzel828htdmjnrmporo1ew8go.png)
so, the answer is
P=12.95N-750
I hope this helps you