penny bought a juice squeezer for $10. she can make a bottle of orange juice for a cost of $0.75, and she…

Explanation:

Step1: Find cost - function

The fixed cost of the juice - squeezer is $10$ and the variable cost per bottle is $0.75$. So the cost function $C(x)$ (where $x$ is the number of bottles) is $C(x)=10 + 0.75x$. When $x = 0$, $C(0)=10$, so the cost - line has a $y$ - intercept of $10$.

Step2: Find revenue - function

The selling price per bottle is $1.85$. So the revenue function $R(x)$ is $R(x)=1.85x$. When $x = 0$, $R(0)=0$, so the revenue - line has a $y$ - intercept of $0$.

Step3: Analyze the slopes

The slope of the cost line is $m_{C}=0.75$ and the slope of the revenue line is $m_{R}=1.85$. The revenue line should be steeper than the cost line, and the cost line should start at $(0,10)$ while the revenue line should start at $(0,0)$.

Answer:

The graph with a cost line starting at the point $(0,10)$ with a positive slope and a revenue line starting at the point $(0,0)$ with a steeper positive slope best illustrates Penny's situation. (Based on the description of the first graph you provided where the cost line starts at $y = 10$ and the revenue line starts at $y = 0$ and is steeper).