this table shows the top salary earned by a professional basketball player in the wnba from 2018 to 2021.\n|…

this table shows the top salary earned by a professional basketball player in the wnba from 2018 to 2021.\n| year | top salary |\n| ---- | ---- |\n| 2018 | $115,500 |\n| 2019 | $127,500 |\n| 2020 | $215,000 |\n| 2021 | $221,450 |\nwhat was the average rate of change in the top salary between 2018 and 2021? round your answer to the nearest cent.

this table shows the top salary earned by a professional basketball player in the wnba from 2018 to 2021.\n| year | top salary |\n| ---- | ---- |\n| 2018 | $115,500 |\n| 2019 | $127,500 |\n| 2020 | $215,000 |\n| 2021 | $221,450 |\nwhat was the average rate of change in the top salary between 2018 and 2021? round your answer to the nearest cent.

Answer

Explanation:

Step1: Recall rate - of - change formula

The formula for the average rate of change of a function $y = f(x)$ over the interval $[x_1,x_2]$ is $\frac{f(x_2)-f(x_1)}{x_2 - x_1}$. Here, $x$ represents the year and $y$ represents the top - salary. $x_1 = 2018$, $x_2=2021$, $f(2018)=115500$, and $f(2021)=221450$.

Step2: Calculate the change in salary and change in years

The change in years $\Delta x=x_2 - x_1=2021 - 2018 = 3$. The change in salary $\Delta y=f(2021)-f(2018)=221450 - 115500=105950$.

Step3: Calculate the average rate of change

The average rate of change is $\frac{\Delta y}{\Delta x}=\frac{221450 - 115500}{2021 - 2018}=\frac{105950}{3}\approx35316.67$.

Answer:

$35317$ per year