Rate Change Sandwiches 891F9A
1. **State the problem:** We need to find the rate of change in the number of sandwiches sold between Thursday and Friday.
2. **Formula:** The rate of change between two points is given by the formula:
$$\text{Rate of change} = \frac{\text{Change in sandwiches sold}}{\text{Change in days}} = \frac{y_2 - y_1}{x_2 - x_1}$$
3. **Identify values:** From the table:
- Thursday sales ($y_1$) = 100 sandwiches
- Friday sales ($y_2$) = 92 sandwiches
- Thursday is day 4, Friday is day 5 (assuming Tuesday = day 1)
4. **Calculate:**
$$\frac{92 - 100}{5 - 4} = \frac{-8}{1} = -8$$
5. **Interpretation:** The rate of change is $-8$ sandwiches per day, meaning the number of sandwiches sold decreased by 8 from Thursday to Friday.
**Final answer:** The rate of change between Thursday and Friday is $-8$ sandwiches per day.