To determine which graph represents the revenue earned by Sandy's Beauty Salon for \( x \) haircuts, we first need to calculate the revenue generated by \( x \) haircuts.
The revenue \( R \) from \( x \) haircuts, where each haircut costs \( $15.00 \), can be calculated using the formula:
\[ R = 15x \]
This means the revenue is linearly dependent on the number of haircuts \( x \), which would result in a straight line graph that passes through the origin (0, 0).
Now let's analyze the information about the graphs provided:
- W and Y: Both are between 8 and 16,360.
- X and Z: Both are at 24,360.
From the graphs mentioned:
- If W and Y represent a revenue formula \( R = 15x \), they should represent linear growth. Since they are both between a specified range, they could fit our revenue equation as long as they show increasing values over a range consistent with multiple haircuts.
- On the other hand, if X and Z are at fixed points (24,360), it seems that they may not represent a linear relationship since a fixed point doesn’t change with varying \( x \).
Since the revenue function \( R = 15x \) grows linearly with the number of haircuts, the correct representation should be a line passing through the origin, making it consistent with W or Y.
Without specific visual information, we can theorize based on meaningful growth:
- If W and Y are indeed the linear relationships that indicate increasing income as \( x \) increases, they would be suitable, but we would choose the one that most accurately represents the defined revenue function behavior.
However, based on available options, we can't definitively choose without visual confirmation. In a general case:
Confirming which option represents revenue in the linear growth pattern originating from zero, I'd choose between W or Y - leaning towards whichever shows more consistent linear growth.
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