Answer:
![\boxed{\sf Option \ 1}](https://img.qammunity.org/2021/formulas/mathematics/high-school/9skgwlditfrlcjzold87y2w1ud0gtyuah0.png)
Explanation:
The profit is revenue (R ) - costs (C ).
Subtract the expression of costs (C ) from revenue (R ).
![10x-0.01x^2-(2x+100)](https://img.qammunity.org/2021/formulas/mathematics/high-school/dufv0q9vrkmdquup1kwa6qpthfr7r8vki9.png)
Distribute negative sign.
![10x-0.01x^2-2x-100](https://img.qammunity.org/2021/formulas/mathematics/high-school/ni417sbr6gj5ukzd06t8ckxcchezlvi17o.png)
Combine like terms.
![8x-0.01x^2-100](https://img.qammunity.org/2021/formulas/mathematics/high-school/frfi4304qxff0vmwiox2our6xmlfp14edl.png)
The first option has a positive 100, which is wrong.
The rest options are right, when we expand brackets the result is same.