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
�������������������






� � �
������������ � �

��

To determine the cost of the repair man's work for a certain amount of time, we can use the given function:

f(x) = {
$50 if 0 < x < 60,
-4x + 30 if x > 60
}

Let's calculate the cost for each scenario:

1. If the repair man works for 45 minutes:
Since 45 is less than 60, we use the first part of the function which gives us $50. Therefore, the cost is $50.

2. If the repair man works for 105 minutes:
Since 105 is greater than 60, we use the second part of the function which is -4x + 30. Plugging in x = 105, we get -4(105) + 30 = -420 + 30 = -$390. Therefore, the cost is -$390.

In real terms, the computer repair man's rate policy can be described as follows:
- For jobs that take less than 60 minutes, there is a fixed rate of $50.
- For jobs that take more than 60 minutes, the cost is determined by a linear equation -4x + 30, where x represents the time in minutes.
- The -4 coefficient indicates that for every additional minute beyond 60, the cost decreases by $4.
- The +30 term indicates that there is an initial cost of $30 when the job takes exactly 60 minutes.
- Therefore, the cost decreases as the time spent on the job increases beyond 60 minutes.
- If the time spent is significantly greater, the cost can even become negative, indicating a refund or a discount.