Answer:
![r(x) = 38x + 375](https://tex.z-dn.net/?f=r%28x%29%20%3D%2038x%20%2B%20375)
Step-by-step explanation:
Given:
Profit in the month of June from first location is ![p(x)=202+21x](https://tex.z-dn.net/?f=p%28x%29%3D202%2B21x)
Profit in the month of June from second location is ![q(x)=17x+173](https://tex.z-dn.net/?f=q%28x%29%3D17x%2B173)
Now, total profit from the two locations can be obtained by adding the profits from each of the two locations.
Now, adding both the profits, we get:
![r(x)=p(x)+q(x)](https://tex.z-dn.net/?f=r%28x%29%3Dp%28x%29%2Bq%28x%29)
Plug in the given values and simplify. This gives,
![r(x)=202+21x+17x+173](https://tex.z-dn.net/?f=r%28x%29%3D202%2B21x%2B17x%2B173)
Now, we need to combine the like terms using commutative property.
Therefore, rearranging the terms, we get:
![r(x)=21x+17x+202+173\\\\r(x)=38x+375](https://tex.z-dn.net/?f=r%28x%29%3D21x%2B17x%2B202%2B173%5C%5C%5C%5Cr%28x%29%3D38x%2B375)
Therefore, the correct option is the first option.