abby and anita receive water service from two different companies. Anita's water service costs 30 cents per gallon per month and has a service charge of $25 per month. abby's water service costs 10 cents 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 the scenario. anita's water bill can be modeled with the equation y = _

Question

Abby's water bill can be modeled with the equation y = _

Answer 1

To model the monthly costs of Anita's and Abby's water services, we can write equations based on the information given.

1. Anita's water bill:

   • Cost per gallon: $0.30
   • Service charge: $25
   • Equation: \( y = 0.30x + 25 \)

2. Abby's water bill:

   • Cost per gallon: $0.10
   • Service charge: $35
   • Equation: \( y = 0.10x + 35 \)

So, the equations for the system are:

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