The game gives each player an initial amount of $5,000 in virtual money.
Hence, the constant amount given to a player is $5000
[tex]c=5000[/tex]After that, a player gets $500 in virtual money for each race won.
Therefore, the slope is $500.
[tex]m(\text{slope)}=500[/tex]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,
[tex]y=mx+c[/tex]Let us substitute the values of m and c in order to obtain the function.
[tex]y=500x+5000[/tex]Where,
x is the independent quantity and
y is the dependent quantity.
Hence, the function is
[tex]y=500x+5000[/tex]