f (x)= {$50 if 0< x <60}
{��_4_�� � ��
� 3 X - 30 if x >60}
What is the cost if the repair man works for 45 minutes?
What is the cost if the repair man works for 105 minutes?
What is the computer repair man’s rate policy? Explain in real terms
I cannot make out you second equation
is it
(4/3) x - 30
or
4/(3x-30)
or .....
secondly, how is x defined.
Idl
To find the cost if the repairman works for a certain number of minutes, we need to evaluate the function f(x) given in the question.
To find the cost if the repairman works for 45 minutes:
- We can see that the repairman's rate is given as $50 for a time range 0 < x < 60 minutes.
- Since 45 minutes fall within this range, the cost would be $50.
To find the cost if the repairman works for 105 minutes:
- The function defines the cost as 3x - 30 if x > 60 minutes.
- Since 105 minutes is greater than 60, we can plug in 105 for x in the function: f(105) = 3(105) - 30.
- Calculating this, we get f(105) = 315 - 30 = $285.
Now, let's explain the computer repairman's rate policy in real terms:
- According to the function provided, for jobs that take less than 60 minutes, the repairman charges a flat fee of $50.
- However, for jobs that take longer than 60 minutes, the cost is determined by the formula 3x - 30, where x represents the number of minutes.
- This means that for every minute worked over 60, the cost increases at a rate of $3 per minute.
- The initial $30 subtracted in the formula represents a discount or adjustment for jobs that exceed 60 minutes.
- In real terms, this policy implies that the repairman charges a fixed rate for shorter jobs and a variable rate for longer jobs, increasing by $3 for every additional minute spent on the repair.