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To determine the price of servicing a car, a
mechanic charges a fixed fee plus an hourly
rate for each hour he works. If his price for
4 hours of service is $270, and his price for
7 hours of work is $420, what is the fixed fee
that the mechanic charges?
E. $50
F. $60
G. $70
H. $120

Answer :

Answer:

Hey there!

We can write this equation, where x is the hourly rate and y is the fixed fee.

4x+y=270

7x+y=420

4x+y=270

-7x-y=-420

-3x=-150

x=50

4(50)+y=270

200+y=270

y=70.

The fixed fee is G. $70.

Let me know if this helps :)

mathstudent55

Answer:

G. $70

Step-by-step explanation:

$420 for 7 hours

$270 for 4 hours

Each of the above already includes the fixed fee.

Now we subtract the bottom line from the top line:

$420 - $270 = $150

$7 hours - 4 hours = 3 hours

$150/3 hours = $50/hour

For 4 hours, the hourly fee is $50/hour * 4 hours = $200.

Since the total charge for 4 hours is $270, then fixed fee is

$270 - $200 = $70

Answer: $70

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