In Svelte, when you change a variable like 'count', any reactive variables depending on it, such as 'doubled', update automatically. This triggers Svelte to update the UI where those variables are used. The flow starts with user data change, then reactive variables update, Svelte detects this, re-renders affected parts, and finally the UI updates on screen. The example code shows 'count' starting at 0 and increasing with an increment function. The reactive statement $: doubled = count * 2 recalculates 'doubled' whenever 'count' changes. The execution table traces each step: initialization, increments, and UI updates. Key moments clarify why the UI updates automatically and what happens without reactive statements. The visual quiz tests understanding of variable values and UI update timing. This reactive system makes UI updates simple and efficient in Svelte.