Question

Nikki sells pottery at a booth in a festival.



She sells two types of pottery: bowls for $10 and cups for $5.

She wants to sell enough pottery to have at least $300 in total sales.



Let x equal the number of bowls and y equal the number of cups. Which graph shows the number of bowls and cups she should sell to meet her goal?

Answer 1

The sales requirement is
10x + 5y ≥ 300,
which simplifies to
2x + y ≥ 60 → y ≥ 60 − 2x.

So the correct graph has the solid boundary line y = 60 − 2x (x-intercept 30, y-intercept 60) and the region above that line (including the line), restricted to x ≥ 0, y ≥ 0.