Question

11

An electrician charges a call-out fee of $40 and $60
per hour.
a. Write an expression for the total cost if the
electrician works for h hours
b. How much would it cost if a particular job took
3 hours?
c. Use your expression to work out how many hours
the electrician worked for if he charged $400 for a
particular job.

Answer 1

The total cost for electrician services for h hours is T = 40 + 60h. If a job took 3 hours, it would cost $220. For a $400 job, the electrician worked for 6 hours.

Step-by-step explanation:

Cost Calculation for Electrician Services

To write an expression for the total cost if the electrician works for h hours, you can consider the call-out fee of $40 as the fixed component and the $60 per hour as the variable component that depends on the number of hours worked. So, the expression for the total cost (T) would be:

T = 40 + 60h

For part b, if a job took 3 hours, the cost would be calculated as:

T = 40 + 60(3) = 40 + 180 = $220

For part c, to find out how many hours the electrician worked for a $400 job, we can set up the equation with the total cost known:

400 = 40 + 60h

Solving for h, we get:

400 - 40 = 60h

360 = 60h

h = 6 hours

Answer 2

a. 60(h)+40=

b 60(3)+40=

180+40=$220

c. 400=60(h)+40=

360=60(h) *divide 60 on each side*

6=h, 6 hours