Question

(01.03 hc)
part a: maci made $170 grooming dogs one day with her mobile dog grooming business. she charges $60 per appointment and earned $50 in tips. write an equation to represent this situation. (4 points)
part b: logan made a profit of $210.00 as a mobile groomer. he charged $75.00 per appointment and received $35.00 in tips, but also had to pay a rental fee for the truck at $10.00 per appointment. write an equation to represent this situation. (4 points)
part c: explain how the equations from part a and part b differ. (2 points)

Explanation:

Step1: Define variable for Part A

Let $x$ be the number of appointments.
The money from appointments is $60x$, and with $50$ in tips and total of $170$, the equation is $60x + 50=170$.

Step2: Define variable for Part B

Let $y$ be the number of appointments.
The money from appointments is $75y$, with $35$ in tips and a rental - fee of $10y$, and profit of $210$. The equation is $75y+35 - 10y=210$, which simplifies to $65y+35 = 210$.

Step3: Compare equations

In Part A, there is no cost deduction, just income from appointments and tips. In Part B, there is a cost (rental fee) per appointment, so the income from appointments is reduced by the rental - fee cost before adding the tips to get the profit.

Answer:

Part A: $60x + 50 = 170$
Part B: $65y+35 = 210$
Part C: Part A has no cost deduction, while Part B has a rental - fee cost per appointment reducing the income from appointments.