Subjects algebra

Rate Change Sandwiches 891F9A

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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.