The 1-variable equation that we need to solve to find how many months it would take to save $10,000 is given when we equal s(x)=10,000.
Hence, the answer is:
![50m+600=10,000](https://img.qammunity.org/2023/formulas/mathematics/college/3gouvxqnl7vgxgnrdf9td0dvh5dfs2fcln.png)
Now, to find how many months it would take to save 10,000, we need to solve for m the previous equation. Therefore:
![50m+600=10,000](https://img.qammunity.org/2023/formulas/mathematics/college/3gouvxqnl7vgxgnrdf9td0dvh5dfs2fcln.png)
Subtract both sides 600
![50m+600-600=10,000-600](https://img.qammunity.org/2023/formulas/mathematics/college/e02ld2qgkavjw7ywa294doadv715dtu3ue.png)
![50m=9400](https://img.qammunity.org/2023/formulas/mathematics/college/fky0ca86k90aleyhhb87jggnurbt7q1j8g.png)
Then, divide both sides by 50:
![(50m)/(50)=(9400)/(50)](https://img.qammunity.org/2023/formulas/mathematics/college/c1l3fqr4dm1xqqr5jdxgsld77qc67s9mtc.png)
![m=188](https://img.qammunity.org/2023/formulas/mathematics/college/1eydcpdlr1mnwm7gu73u0dfuhplatec5cq.png)
Hence, it would take 188 months to save $10,000