(b) The borough of Pan Sherzando charges homeowners $75.24 per month plus $3.86 per1000 litres for water usage in excess of 10,000 litres. In 2019 one homeowner's monthlybill ranged from $137.00 to $245.08. Find the range for the water used by that homeowner.

Answered: (b) The borough of Pan Sherzando…

Intermediate Algebra

19th Edition

ISBN:9780998625720

Author:Lynn Marecek

Publisher:Lynn Marecek

Chapter12: Sequences, Series And Binomial Theorem

Section12.3: Geometric Sequences And Series

Problem 12.57TI: What is the total effect on the economy of a government tax rebate of $1,000 to each household in...

See similar textbooks

Related questions

Question

(b) The borough of Pan Sherzando charges homeowners $75.24 per month plus $3.86 per
1000 litres for water usage in excess of 10,000 litres. In 2019 one homeowner's monthly
bill ranged from $137.00 to $245.08. Find the range for the water used by that homeowner.

Expert Solution

Step 1

The standard charge on the homeowner is $75.24 per month.

The borough of Pan Sherzando charges $3.86 per 1000 litres of water usage in excess of 10,000 litres.

The monthly bill of the homeowner ranged from $137 to $245.08.

Since $75.24 per month is the standard charge, the bill paid for excess water consumption would range from $$ 137 - $ 75.24 = $ 61.76$ to $$ 245.08 - $ 75.24 = $ 169.84$ .

Evaluate the minimum water usage as follows.

$\begin{array}{rcl} m i n i m u m w a t e r u s e d & = & (10, 000 l i t r e s) + \frac{b i l l p a i d f o r e x c e s s w a t e r u s a g e}{c h a r g e s f o r 1000 l i t r e o f w a t e r u s a g e} \\ = & 10, 000 + \frac{61.76}{3.86} \\ = & 10, 000 + 16, 000 (c h a r g e s a r e f o r 1000 l i t r e s) \\ = & 26, 000 l i t r e s \end{array}$

Thus, the minimum amount of water used by the homeowner is 26,000 litres.

Step by step

Solved in 2 steps

Knowledge Booster

$Fractions$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.

Similar questions