Respuesta :
Answer:
[tex]r(x) = 38x + 375[/tex]
Step-by-step explanation:
Given:
Profit in the month of June from first location is [tex]p(x)=202+21x[/tex]
Profit in the month of June from second location is [tex]q(x)=17x+173[/tex]
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:
[tex]r(x)=p(x)+q(x)[/tex]
Plug in the given values and simplify. This gives,
[tex]r(x)=202+21x+17x+173[/tex]
Now, we need to combine the like terms using commutative property.
Therefore, rearranging the terms, we get:
[tex]r(x)=21x+17x+202+173\\\\r(x)=38x+375[/tex]
Therefore, the correct option is the first option.