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 this scenario.(1 point)

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 represent the water bills of Abby and Anita as equations, we can derive their monthly cost equations based on the given information.

For Anita:

• The cost per gallon is 30 cents, which is $0.30.
• The service charge is $25.

So, Anita's water bill can be modeled as: \[ y = 0.30x + 25 \]

For Abby:

• The cost per gallon is 10 cents, which is $0.10.
• The service charge is $35.

Thus, Abby's water bill can be modeled as: \[ y = 0.10x + 35 \]

In summary:

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