If you plan your website, always look at its long term benefits. There are many benefits to using a blogging script or a content management system. But it highly uses available resources on hosting.
In some cases, though, the dynamic site created by such a system is an overkill. If your site require rare changes and only has a set number of pages, such as is typical if you are only selling a particular product or a service, it is better to have a static site. As mentioned above, static sites consume limited resource than dynamically created sites.
Note that you should not decide to make your website static just for this reason alone. There are many other factors to consider.
If your site has to use blogging software or a content management system and your website facing heavy traffic approx. more than 100 visits daily, then you need to plan ahead for the time when you will no longer be able to use shared web hosting.
In such situations, you will probably have to put your site on a virtual private server (VPS) or a dedicated server. The latter allows your site to use all the resources it needs since it will be the only one on the server (unless you choose to put other sites there). A VPS usually gives your site less resources to work with than a true dedicated server, but may be sufficient if your site is only just outgrowing shared hosting.