Kathy is a repair technician for a phone company. Each week, she receives a batch of phones. The first thing someone said was LectureNotes who said!
Answer:
In this scenario, the equation given is:
P = 108 - 23d
Here:
- ( P ) is the number of phones left at the end of each day.
- ( d ) is the number of days she has worked that week.
- 108 is a constant in the equation.
- 23 is the rate at which Kathy repairs phones per day.
The question is: What is the meaning of the value 108 in this equation?
To understand this, let’s look at the equation. On day 0 (( d = 0 )):
P = 108 - 23 \cdot 0 = 108
So, when ( d = 0 ) (meaning it’s the start of the week before Kathy has done any work), the number of phones left to repair (( P )) is 108. Therefore, the value 108 represents the total number of phones Kathy starts with at the beginning of each week.
Answer Choices Analysis:
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A) Kathy will complete the repairs within 108 days.
This isn’t accurate because 108 isn’t the time duration but the number of phones at the beginning.
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B) Kathy starts each week with 108 phones to fix.
This is correct, as shown above.
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C) Kathy repairs phones at a rate of 108 per hour.
This isn’t accurate; the rate at which she repairs phones is 23 per day.
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D) Kathy repairs phones at a rate of 108 per day.
This isn’t accurate; the rate at which she repairs phones is 23 per day, not 108.
Final Answer:
B) Kathy starts each week with 108 phones to fix.