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 model the water bills for Anita and Abby, we need to write equations based on their respective cost structures.

For Anita:

• The cost per gallon is $0.30 (which is 30 cents).
• The fixed service charge is $25 per month.

Thus, the equation for Anita's water bill can be expressed as: \[ y = 0.30x + 25 \]

For Abby:

• The cost per gallon is $0.10 (which is 10 cents).
• The fixed service charge is $35 per month.

Therefore, the equation for Abby's water bill can be expressed as: \[ y = 0.10x + 35 \]

In summary:

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