To determine the average rate of change of the bread price from 3 to 6 predicted storms, we need to follow these steps:
1. Identify the prices corresponding to 3 and 6 predicted storms.
- From the table, the bread price when 3 storms are predicted is \[tex]$2.41.
- Similarly, the bread price when 6 storms are predicted is \$[/tex]2.68.
2. Calculate the change in price.
- The change in price is the price at 6 storms minus the price at 3 storms.
- [tex]\(\Delta \text{Price} = 2.68 - 2.41 = 0.27\)[/tex]
3. Calculate the change in the number of storms.
- The change in the number of storms is the number of storms at the second point minus the number of storms at the first point.
- [tex]\(\Delta \text{Storms} = 6 - 3 = 3\)[/tex]
4. Determine the average rate of change.
- The average rate of change is the change in price divided by the change in the number of storms.
- [tex]\(\text{Average Rate of Change} = \frac{\Delta \text{Price}}{\Delta \text{Storms}} = \frac{0.27}{3} = 0.09\)[/tex]
Thus, the average rate of change of the bread price from 3 to 6 predicted storms is [tex]\( \$0.09 \)[/tex] per storm.
