Question

I have 102 coins. whenever I win 1 round I earn +2 coins. how many rounds will i have to win to have 600 coins?

Answer 1

`\text{You have to win at least 249 times.}`

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:

`\begin{gathered} y=mx+b \\ \text{where,} \\ m=\text{ constant rate of change} \\ b=\text{ initial value} \end{gathered}`
`y=2x+102`

Substitute y=600, and solve for x.

`\begin{gathered} 600=2x+102 \\ 2x=600-102 \\ x=(498)/(2) \\ x=249\text{ times} \end{gathered}`