Question

1. the ny yankees hit 219 homeruns in their 2023 season. in their 2024 season, they had 237 homeruns. find the rate of change in homeruns.
2. in math class, blake earned a 94 in the first quarter, and 86 in the second quarter, 88 in the third quarter, and a 96 in the fourth quarter. find the rate of change from the second quarter to the fourth quarter.

Explanation:

Step1: Define rate of change formula

Rate of change = $\frac{\text{Final Value} - \text{Initial Value}}{\text{Final Time} - \text{Initial Time}}$

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For Question 9:

Step2: Assign values to variables

Let 2023 = Year 1, 2024 = Year 2.
Initial value = 219, Final value = 237; Initial time = 1, Final time = 2

Step3: Calculate rate of change

$\frac{237 - 219}{2 - 1} = \frac{18}{1} = 18$

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For Question 10:

Step2: Assign values to variables

Let 2nd quarter = Time 2, 4th quarter = Time 4.
Initial value = 86, Final value = 96; Initial time = 2, Final time = 4

Step3: Calculate rate of change

$\frac{96 - 86}{4 - 2} = \frac{10}{2} = 5$

Answer:

1. 18 homeruns per year
2. 5 points per quarter