We read your photo as:

Based on a water tariff table, calculate costs for Block 3 and a total of 14 kilolitres of usage.

Economics

ScanSolve AI Answer

Step-by-step solution

9 steps

Here are the answers to your questions based on the provided water tariff table:

Part 3.1· 2 steps

Identify the cost per kilolitre for a household that falls into Block 3.

  1. Locate Block 3 in the table.

    Block 3 corresponds to a volume of >10 kℓ−15 kℓ>10 \text{ k}\ell - 15 \text{ k}\ell.

  2. Read the water rate per kilolitre for Block 3.

    The water rate for Block 3 is R13,08.

    • R13,08 per kℓ\ell

Part 3.2· 4 steps

A household used 14 kilolitres of water during a specific month. Calculate the total cost (Excluding VAT) for using 14 kilolitres of water.

  1. Calculate the cost for Block 1 (0 - 6 kℓ\ell).

    Volume in Block 1=6 kℓ\text{Volume in Block 1} = 6 \text{ k}\ell Rate for Block 1=Free\text{Rate for Block 1} = \text{Free} Cost for Block 1=6 kℓ×R0.00/kℓ=R0.00\text{Cost for Block 1} = 6 \text{ k}\ell \times \text{R}0.00/\text{k}\ell = \text{R}0.00
  2. Calculate the cost for Block 2 (>6 kℓ\ell - 10 kℓ\ell).

    This block covers 4 kℓ\ell (from 6 kℓ\ell to 10 kℓ\ell).

    Volume in Block 2=4 kℓ\text{Volume in Block 2} = 4 \text{ k}\ell Rate for Block 2=R7.20/kℓ\text{Rate for Block 2} = \text{R}7.20/\text{k}\ell Cost for Block 2=4 kℓ×R7.20/kℓ=R28.80\text{Cost for Block 2} = 4 \text{ k}\ell \times \text{R}7.20/\text{k}\ell = \text{R}28.80
  3. Calculate the cost for Block 3 (>10 kℓ\ell - 15 kℓ\ell).

    The total usage is 14 kℓ\ell. After Block 1 (6 kℓ\ell) and Block 2 (4 kℓ\ell), the remaining volume is 14 kℓ−6 kℓ−4 kℓ=4 kℓ14 \text{ k}\ell - 6 \text{ k}\ell - 4 \text{ k}\ell = 4 \text{ k}\ell. This remaining 4 kℓ\ell falls into Block 3.

    Volume in Block 3=4 kℓ\text{Volume in Block 3} = 4 \text{ k}\ell Rate for Block 3=R13.08/kℓ\text{Rate for Block 3} = \text{R}13.08/\text{k}\ell Cost for Block 3=4 kℓ×R13.08/kℓ=R52.32\text{Cost for Block 3} = 4 \text{ k}\ell \times \text{R}13.08/\text{k}\ell = \text{R}52.32
  4. Calculate the total cost (Excluding VAT).

    Total Cost=Cost for Block 1+Cost for Block 2+Cost for Block 3\text{Total Cost} = \text{Cost for Block 1} + \text{Cost for Block 2} + \text{Cost for Block 3} Total Cost=R0.00+R28.80+R52.32\text{Total Cost} = \text{R}0.00 + \text{R}28.80 + \text{R}52.32 Total Cost=R81.12\text{Total Cost} = \text{R}81.12
    • R81.12

Part 3.3· 3 steps

The total water bill for another household, including 15% VAT, was R184.00. Calculate the cost of the water before VAT was added.

  1. Define the relationship between the cost before VAT and the total bill including VAT.

    Let CC be the cost before VAT.
    VAT is 15%, so the total bill is C+0.15C=1.15CC + 0.15C = 1.15C.

  2. Set up the equation with the given total bill.

    1.15C=R184.001.15C = \text{R}184.00
  3. Solve for CC by dividing the total bill by 1.15.

    C=R184.001.15C = \frac{\text{R}184.00}{1.15} C=R160.00C = \text{R}160.00
    • R160.00
Was this helpful?

Still stuck on this one?

Ask a follow-up, and the answer starts from this question.

Got a different question?Ask your own question
Handwritten step-by-step solution preview

Handwritten Step-by-Step Solution

Get this as a handwritten image on WhatsApp — like a tutor wrote it for you.

Try on WhatsApp