The game gives each player an initial amount of $5,000 in virtual money.
Hence, the constant amount given to a player is $5000
![c=5000](https://img.qammunity.org/2023/formulas/mathematics/college/683n8ow12cynhdwps8yim1ygkgjvkjv42t.png)
After that, a player gets $500 in virtual money for each race won.
Therefore, the slope is $500.
![m(\text{slope)}=500](https://img.qammunity.org/2023/formulas/mathematics/college/v18b2zpcom5gbtght3osuaggo75gjzf0hi.png)
Let 'x' represents the number of races won.
Let 'y' represent the amount of virtual money a player has in terms of the number of races won.
The formula for the general function is,
![y=mx+c](https://img.qammunity.org/2023/formulas/mathematics/high-school/r9wr7tk2q8cfcans6j0owflua8au85op0h.png)
Let us substitute the values of m and c in order to obtain the function.
![y=500x+5000](https://img.qammunity.org/2023/formulas/mathematics/college/d9f6xdn4nf7z790trq5k2o317ozuivezs2.png)
Where,
x is the independent quantity and
y is the dependent quantity.
Hence, the function is
![y=500x+5000](https://img.qammunity.org/2023/formulas/mathematics/college/d9f6xdn4nf7z790trq5k2o317ozuivezs2.png)