Daar is baie belangstelling.

Yes. In this sentence, daar works like the there in English there is / there are.

So Daar is baie belangstelling means something like:

• There is a lot of interest
• There is great interest

Here, daar does not mainly point to a physical place. It is a so-called dummy subject, just like English there in There is a problem.

Afrikaans uses is for the present tense of to be with all persons and numbers:

• ek is = I am
• jy is = you are
• hy/sy is = he/she is
• ons is = we are
• hulle is = they are

So even if the idea is plural in English, Afrikaans still uses is:

• Daar is baie mense. = There are many people.
• Daar is baie belangstelling. = There is a lot of interest.

This is very normal in Afrikaans.

Baie means much, many, or a lot of, depending on context.

In this sentence:

• baie belangstelling = a lot of interest / much interest

A useful thing to remember is that Afrikaans uses baie very widely:

• baie mense = many people
• baie water = a lot of water
• baie goed = very good

So baie can function like English many/much/a lot of, and also like very in other sentences.

Belangstelling means interest.

In this sentence it is an abstract noun, like English interest in:

• There is a lot of interest in it.

It usually refers to:

• attention
• curiosity
• enthusiasm
• public interest

So Daar is baie belangstelling suggests that many people are interested, or that something is attracting strong attention.

Because belangstelling is being used in a general, uncountable way here.

Compare English:

• There is interest.
• There is a lot of interest.

You do not normally say There is a interest. The same idea applies in Afrikaans.

So:

• Daar is belangstelling. = There is interest.
• Daar is baie belangstelling. = There is a lot of interest.

No article is needed.

Yes, but it is very common and basic Afrikaans word order.

The structure is:

• Daar
  • is
    • quantity + noun

So:

• Daar is baie belangstelling.

This is the standard way to say There is/There are ... in Afrikaans.

More examples:

• Daar is 'n probleem. = There is a problem.
• Daar is tyd. = There is time.
• Daar is baie vrae. = There are many questions.

So this sentence follows a very useful everyday pattern.

A simple learner-friendly guide would be:

• Daar ≈ daar / dahr
• is ≈ iss
• baie ≈ BY-uh
• belangstelling ≈ buh-LAHNG-stel-ing

Very roughly:

Dahr iss BY-uh buh-LAHNG-stel-ing

A few notes:

• aa in Daar is a long vowel.
• g in belangstelling is the guttural Afrikaans g, not an English g sound.
• baie is a very common word, and learners often need a little practice with it.

Not directly. The sentence literally talks about interest, not people.

So the best translation is:

• There is a lot of interest.

In context, that may imply that many people are interested, but the Afrikaans sentence itself does not actually say people.

If you wanted to say There are many interested people, you would need a different sentence.

You can definitely use it on its own. It works well as a complete statement.

For example:

• Hoe gaan die kaartjieverkope?
  Daar is baie belangstelling.
  = How are ticket sales going? There is a lot of interest.

It is especially common when talking about:

• events
• products
• courses
• jobs
• news stories
• public reaction

So it is a very natural standalone sentence.

Yes, they are related through the idea of importance.

• belang = importance / interest
• belangrik = important
• belangstelling = interest

You do not need to break the word apart to use it correctly, but it can help you remember that belangstelling has to do with taking interest in something or considering it important enough to pay attention to.

The negative is:

Daar is nie baie belangstelling nie.

This means:

• There is not much interest.
• There isn't a lot of interest.

Notice the usual Afrikaans double negative pattern:

• nie ... nie

So the positive sentence is:

• Daar is baie belangstelling.

And the negative is:

• Daar is nie baie belangstelling nie.