Math Problem Statement
Solution
Let's analyze the image for the water bill calculation.
Given Data:
- Previous Reading: 23,757 kL
- New Reading: 24,647 kL
- Water Rate: $2.50 per kL
- Meter Rental: $25 per month
We are asked to calculate:
- The variable cost of the bill.
- The fixed cost of the bill.
- The total cost of the water bill.
Solution:
(a) Variable Cost of the Bill:
The variable cost depends on the amount of water used, which is: Now, multiply the water usage by the rate per kL:
(b) Fixed Cost of the Bill:
The fixed cost is the monthly meter rental, which is given as:
(c) Total Cost of the Water Bill:
The total cost is the sum of the variable and fixed costs:
Final Answers:
- (a) Variable Cost: $2,225
- (b) Fixed Cost: $25
- (c) Total Cost: $2,250
Would you like further clarification on any part of this? Here are some related questions:
- How would the cost change if the water rate increased to $3.00 per kL?
- What would happen if the meter rental was billed quarterly instead of monthly?
- How does the variable cost impact the total bill as water usage increases?
- Could the fixed cost ever be more than the variable cost? Under what conditions?
- What would the total cost be if no water was used during the billing period?
Tip: To better manage water bills, tracking consumption trends can help predict future costs.
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Math Problem Analysis
Mathematical Concepts
Arithmetic
Rates
Fixed Costs
Formulas
Variable Cost = (New Reading - Previous Reading) * Water Rate
Fixed Cost = Meter Rental
Total Cost = Variable Cost + Fixed Cost
Theorems
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Suitable Grade Level
Grades 6-8
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