An electicity company charges per quarter as follows: a fixed charge of #50 and a charge of #3.50 per unit of current used

(a) calculate the charge for 460 units of electricity
(b) If VAT of 5% is paid on the bill, calculate the amount to be paid

Solve and explain

you want y = mx+b where b is the constant part, and m is the rate:

y = 3.50x + 50

(a) now just plug in x=460
(b) multiply that by 1.05

Can u pls show workings

(a) Let's calculate the charge for 460 units of electricity:

The fixed charge is #50.
The charge per unit is #3.50.

So, for 460 units of electricity:

Charge = (Number of units x Charge per unit) + Fixed charge
Charge = (460 x #3.50) + #50
Charge = #1610 + #50
Charge = #1660

Therefore, the charge for 460 units of electricity is #1660.

(b) Now, let's calculate the amount to be paid including VAT:

The VAT rate is 5%, so we need to add 5% of the charge to the total amount.

VAT = 5% of Charge
VAT = 5/100 x Charge
VAT = 5/100 x #1660
VAT = #83

Total Amount = Charge + VAT
Total Amount = #1660 + #83
Total Amount = #1743

Therefore, the amount to be paid, including VAT, is #1743.

483

To calculate the charge for 460 units of electricity, you need to multiply the number of units by the charge per unit and then add the fixed charge.

(a) Calculation:
Number of units: 460
Charge per unit: £3.50

Charge for units: 460 * £3.50 = £1610
Fixed charge: £50

Total charge: £1610 + £50 = £1660

Therefore, the charge for 460 units of electricity is £1660.

(b) To calculate the amount to be paid with a 5% VAT on the bill, you need to multiply the total charge by 5% and then add it to the total charge.

VAT rate: 5%

VAT amount: £1660 * 5% = £83

Amount to be paid: £1660 + £83 = £1743

Therefore, the amount to be paid, including VAT, is £1743.