Multiple choice

Kathy is a repair technician for a phone company. Each week, she receives a batch of phones that need repairs. The number of phones that she has left to fix at the end of each day can be estimated with the equation $P=108-23d$, where $P$ is the number of phones left and $d$ is the number of days she has worked that week. What is the meaning of the value $108$ in this equation?

  1. Kathy will complete the repairs within $108$ days
  2. Kathy starts each week with $108$ phones to fix
  3. Kathy repairs phones at a rate of $108$ per hour
  4. Kathy repairs phones at a rate of $108$ per day
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B Correct answer
Explanation

The equation P = 108 - 23d represents a linear function where 108 is the y-intercept, representing the starting value when d=0.

AI explanation

In the linear equation P equals 108 minus 23d, setting the days worked (d) to 0 gives P equals 108. This initial value represents the starting point before any repairs are made. Therefore, the value 108 means Kathy starts each week with 108 phones to fix.

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