Final answer:
The total revenue earned from selling x small logos and y large logos at a graphic design agency is represented by the linear expression R = 50x + 100y.
Step-by-step explanation:
The total revenue earned by a graphic design agency that charges $50 for a small logo and $100 for a large logo can be represented by a linear equation. If x represents the number of small logos sold and y represents the number of large logos sold, then the total revenue (R) is the sum of the revenue from both small and large logos.
The total revenue from small logos is 50 times the quantity of small logos (x), and the total revenue from large logos is 100 times the quantity of large logos (y). Therefore, the expression for the total revenue earned is R = 50x + 100y.