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:
![200g+3750\ge5000](https://img.qammunity.org/2023/formulas/mathematics/college/cvbjmio9h74ftoqelyplqltmv7pqfcob3c.png)
Now solve to find g:
![\begin{gathered} 200g\ge5000-3750 \\ 200g\ge1250 \\ \\ g\ge(1250)/(200) \\ \\ g\ge6.25 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/c64nz5a9ctxz07jh35zj5wgvng8xbx4fem.png)
So, the minimum number of games Josh will need it to play = 7