Question

An electrician charges a fixed fee of $40 plus $25 per hour.
i) Derive a formula to show his charges, Where C is the total charge and n is the number of hours.
ii) What would the electrician charge for working 6 hours?
I WILL MARK YOU AS BRAINLIEST BUT PLZ ANSWER THIS QUESTION

Answer 1

Answer:

Let the Total Charge be "x" and number of hours be "y".

Total Charge = Basic Charge + Charge per hour ( No. of hours )

Writing it in terms of the given information we get:

⇒ x = $40 + $25 ( y )

⇒ x = 40 + 25y

⇒ x - 25y = 40

Hence the formula to show the charges charged in terms of number of hours is: x - 25y = 40.

Now according to (ii) part of the question,

The number of hours worked is 6 hours.

Hence y = 6. We need to calculate the total charge collected.

Using the equation which we derived in the last part (i), we get:

⇒ x = 40 + 25y

⇒ x = 40 + 25 ( 6 )

⇒ x = 40 + 150

⇒ x = $ 190

Hence the electrician would charge $190 for 6 hours of work.

Answer 2

Answer:

1]

• The required formula is

Let the charge be C

and number of hours = n

C = 40 + 25 × n

C = 40 + 25n

C - 25n = 40(I)

2]

Since time of charge is 6 hours

And we have assumed the time as n

By putting n as 6

C - 25(6) = 40

C - 150 = 40

C = 150 + 40

C = 190

Therefore

• The money is $190