abby and anita receive water service from two different companies. anita’s water service cost $.30 per gallon per month and has a service charge of $25 per month. abby’s water service cost $.10 per gallon per month and has a service charge of $35 per month. let x represent the number of gallons of water per month and y represent the monthly cost. write the equations that make up the system of equations for this scenario.

Question

anita’s water bill can be modeled with the equation y = ____
abby’s water bill can be modeled with the equation y = ___

Answer 1

To model the monthly water costs for Anita and Abby, we can formulate the equations based on their pricing structures.

1. Anita's Water Bill:

   • Cost per gallon: $0.30
   • Service charge: $25 The equation representing Anita's total monthly cost (y) as a function of the number of gallons of water used (x) can be written as: \[ y = 0.30x + 25 \]

2. Abby's Water Bill:

   • Cost per gallon: $0.10
   • Service charge: $35 The equation representing Abby's total monthly cost (y) as a function of the number of gallons of water used (x) can be written as: \[ y = 0.10x + 35 \]

Thus, the equations for this scenario are:

• Anita's water bill: \( y = 0.30x + 25 \)
• Abby's water bill: \( y = 0.10x + 35 \)