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? A) Kathy will complete the repairs within 108 days. B) Kathy starts each week with 108 phones to fix. C) Kathy repairs phones at a rate of 108 per hour. D) Kathy repairs phones at a rate of 108 per day.

## Step 1<br />The given equation is \(P = 108 - 23d\), where \(P\) represents the number of phones left to be repaired and \(d\) represents the number of days Kathy has worked in a week.<br /><br />## Step 2<br />The number 108 in this equation is the y-intercept, which is the value of \(P\) when \(d = 0\). This means that when Kathy has not worked any days in the week (i.e., \(d = 0\)), the number of phones left to be repaired is 108.<br /><br />## Step 3<br />Therefore, the number 108 in this equation represents the number of phones Kathy starts with each week before she begins any repairs.