Vera pays $150 as a fixed monthly fee and $10 per haircut. The equation for the total she pays to the salon is y = 10x + 150, where the slope is the cost per haircut is $10 and the y-intercept is the fixed monthly fee that $150.
Vera is required to pay a fixed monthly charge plus a variable cost per haircut to the salon.
To represent the total Vera pays the salon, y, for x haircuts, we need an equation in slope-intercept form, which is y = mx + b.
Here, m represents the variable cost per haircut, and b represents the fixed monthly charge.
In Vera’s case, the salon charges her $150 per month as the fixed cost and $10 for each haircut she gives.
Therefore, the equation that represents Vera’s total monthly payment to the salon, y, will be:
y = 10x + 150
Where:
The slope (m) is 10, which is the amount Vera pays to the salon per haircut.
The y-intercept (b) is 150, representing the fixed monthly chair rental fee that Vera pays, regardless of the number of haircuts given.