Question

Hannah's electricity company charges her 25php per kWh (kilowatt-hour) of

electricity, plus a basic connection charge of 900 per month.


1. Write a function that models her monthly electricity bill as a function

of electricity usage.

2. How much should she pay if she has a total consumption of

200kilowatts?​

Answer 1

Answer:
1. Monthly Bill (in PHP) = (Electricity Usage in kWh) * (Rate per kWh) + Basic Connection Charge
2. Hannah should pay 5,900 PHP for a total consumption of 200 kilowatt-hours.

Explanation:
1. Modeling Hannah's Monthly Electricity Bill

To model Hannah's monthly electricity bill as a function of electricity usage, we can use the following equation:

Monthly Bill (in PHP) = (Electricity Usage in kWh) * (Rate per kWh) + Basic Connection Charge

Where:

Rate per kWh is the cost per kilowatt-hour (25 PHP per kWh).

Basic Connection Charge is a fixed monthly fee (900 PHP per month).

So, the function in mathematical notation is:

Monthly Bill = Electricity Usage (in kWh) × 25 PHP/kWh +900PHP

Monthly Bill=Electricity Usage (in kWh)×25PHP/kWh+900PHP

2. Calculation for 200 kWh Consumption

Now, to calculate how much Hannah should pay if she has a total consumption of 200 kilowatt-hours, we can use the formula we derived above.

Substitute the value of Electricity Usage (in kWh) as 200:

Monthly Bill=200kWh×25PHP/kWh+900PHP

Now, calculate the bill:

Monthly Bill=5000PHP+900PHP=5900PHP

Hannah should pay 5,900 PHP if she has a total consumption of 200 kilowatt-hours.