Respuesta :
Answer:
[tex]\text{You have to win at least 249 times.}[/tex]Step-by-step explanation:
Let x be the number of rounds you have to win to have 600 coins.
This situation is represented by a linear function because it has an initial value and a constant rate of change (2 coins per win).
Therefore, the standard form of a linear function is represented by:
[tex]\begin{gathered} y=mx+b \\ \text{where,} \\ m=\text{ constant rate of change} \\ b=\text{ initial value} \end{gathered}[/tex][tex]y=2x+102[/tex]Substitute y=600, and solve for x.
[tex]\begin{gathered} 600=2x+102 \\ 2x=600-102 \\ x=\frac{498}{2} \\ x=249\text{ times} \end{gathered}[/tex]