Step 1 :The problem is asking for the type of function that best models the data. Looking at the data, we can see that the price of the item decreases by $15 each day. This suggests that the relationship between the number of days and the price is linear. Therefore, a linear function would best model the data.
Step 2 :To confirm this, we can calculate the rate of change between each pair of consecutive points. If the rate of change is constant, then the function is linear.
Step 3 :The rates of change between each pair of consecutive points are all -15, which is constant. This confirms that the function is linear.
Step 4 :The type of function that best models the data is a \(\boxed{\text{linear function}}\).