Given :
Josh needs at least 5000 points in a video game he is playing to move on to the next level.
Currently, he has 3750 points
He will earn 200 points per game ( g )
So, we can express the situation as following:
[tex]200g+3750\ge5000[/tex]Now solve to find g:
[tex]\begin{gathered} 200g\ge5000-3750 \\ 200g\ge1250 \\ \\ g\ge\frac{1250}{200} \\ \\ g\ge6.25 \end{gathered}[/tex]So, the minimum number of games Josh will need it to play = 7