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

Question

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.

Anita's water bill can be modeled with equation y = __

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

Answer 1

Let's break down the cost structure for both Anita and Abby.

Anita's water service:

• Cost per gallon: 30 cents = $0.30
• Service charge: $25

The equation for Anita's monthly water bill \(y\) can be modeled as: \[ y = 0.30x + 25 \]

Abby's water service:

• Cost per gallon: 10 cents = $0.10
• Service charge: $35

The equation for Abby's monthly water bill \(y\) can be modeled as: \[ y = 0.10x + 35 \]

Thus, the system of equations for this scenario is:

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