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.(1 point)
Anita’s water bill can be modeled with the equation y=


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

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Answer 1

To model the water bills for both Anita and Abby, we can write equations based on their given rates and service charges.

1. Anita's water bill equation:

   • The cost is 30 cents per gallon, which can be expressed as \(0.30x\).
   • The monthly service charge is $25.
   • Therefore, the equation for Anita's water bill is: \[ y = 0.30x + 25 \]

2. Abby's water bill equation:

   • The cost is 10 cents per gallon, which can be expressed as \(0.10x\).
   • The monthly service charge is $35.
   • Therefore, the equation for Abby's water bill is: \[ y = 0.10x + 35 \]

In summary, the system of equations for this scenario is:

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