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=

Answer 1

To write the equations for Anita's and Abby's water bills, you can use the information provided about their water service costs.

1. Anita's water bill:
   The cost is 30 cents per gallon and a service charge of $25 per month.
   This can be written as: \[ y = 0.30x + 25 \]

2. Abby's water bill:
   The cost is 10 cents per gallon and a service charge of $35 per month.
   This can be written as: \[ y = 0.10x + 35 \]

So, the system of equations is:

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