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)
Answers
A. 170 = 60x + 50
B. 210 = 75x + 35 - 10x
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.
Equation: 170 = 60x + 50
This equation represents the total income Maci made from grooming dogs, which consists of the fees she charges for each appointment (60x) and the tips she received (50).
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.
Equation: 210 = 75x + 35 - 10x
This equation represents the total profit Logan made from his mobile grooming business, which consists of the fees he charges for each appointment (75x), the tips he received (35), and the rental fee he had to pay for the truck (-10x).
Part C:
The equations in Part A and Part B differ in that the equation in Part B includes a term for the rental fee that Logan had to pay for the truck (-10x), which is not present in the equation in Part A. This reflects the fact that Logan's profit is calculated differently from Maci's income, as Logan's profit takes into account the expenses he incurred in addition to his revenue.
#SPJ1