Subjects algebra

Average Rate Change 32897D

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1. **State the problem:** We need to find the average rate of change in the value of draft picks between the 2nd and 4th picks. 2. **Recall the formula for average rate of change:** $$\text{Average rate of change} = \frac{\text{Change in value}}{\text{Change in pick number}} = \frac{f(x_2) - f(x_1)}{x_2 - x_1}$$ 3. **Identify values from the problem:** - At pick number 2, value $f(2) = 100$ - At pick number 4, value $f(4) = 30$ 4. **Calculate the change in value and pick number:** $$\text{Change in value} = 30 - 100 = -70$$ $$\text{Change in pick number} = 4 - 2 = 2$$ 5. **Calculate the average rate of change:** $$\frac{30 - 100}{4 - 2} = \frac{-70}{2}$$ 6. **Simplify the fraction:** $$\frac{-70}{2} = -35$$ 7. **Interpretation:** The average rate of change is $-35$ points per pick, meaning the value decreases by 35 points on average for each pick between 2 and 4. 8. **Answer choice:** The magnitude of the average rate of change is 35 points, so the correct answer is **B. 35 points**.