Final answer:
The correct revenue function for the armband company that sells each armband for $7 is R(x) = 7x, reflecting the total revenue as a product of the number of armbands sold and the price per armband.
Step-by-step explanation:
The revenue function for a company that sells items for a fixed price can be determined by multiplying the number of items sold by the price per item. If the armband company sells each armband for $7, the revenue R for selling x armbands is given by the function R(x) = 7x. This means for every armband sold, the revenue increases by $7. Hence, the correct option is a) R(x)=7x.