At Sandy's Beauty Salon, a haircut costs $15.00 and a permanent costs $30.00.

Which graph represents the amount of revenue the salon will earn in one day for x haircuts?

W.
X.

Y.
Z.
A.
W
B.
X
C.
Y
D.
Z

1 answer

To determine which graph represents the revenue earned from haircuts, we first need to calculate the revenue function based on the number of haircuts, \( x \).

  1. Cost of a haircut: $15.00
  2. Cost of a permanent: $30.00

However, the problem only mentions the revenue based on the number of haircuts, \( x \). The revenue earned from haircuts can be calculated as: \[ \text{Revenue} = 15x \] where \( x \) is the number of haircuts.

This function represents a straight line that starts at the origin (0, 0) and has a slope of 15. Thus, for every additional haircut, the revenue increases by $15.

To find out which of the given graphs (W, X, Y, or Z) represents this linear relationship:

  • Look for a graph that starts at the origin.
  • Check for a straight line with a slope corresponding to the revenue function (15).

Unfortunately, as the actual graphs are not provided in your question, you need to identify the graph that meets these criteria based on the descriptions or images of the graphs.

If you can provide a description of the graphs, I can help you determine the correct choice.