Denzel must practice the piano for 210 minutes each weok. He practices for 30 minute each day Part A Whte a function to represent the number of minutes Denzel still has to practice after $$ x $$ days.

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To represent the number of minutes Denzel still has to practice after $$ x $$ days, you can create a linear function based on the information provided.

1. **Total Required Practice per Week:**  
   Denzel needs to practice for a total of **210 minutes** each week.

2. **Daily Practice:**  
   He practices for **30 minutes** each day.

3. **Minutes Practiced After $$ x $$ Days:**  
   After $$ x $$ days, the total minutes he has already practiced is:
   $$
   30x
   $$

4. **Minutes Remaining to Practice:**  
   The remaining minutes he needs to practice after $$ x $$ days is:
   $$
   210 - 30x
   $$

**Function Representation:**
$$
f(x) = 210 - 30x
$$

- **$$ f(x) $$** represents the number of minutes Denzel still has to practice after $$ x $$ days.
- **Domain Consideration:**  
  Since there are 7 days in a week, $$ x $$ should be within the range:
  $$
  0 \leq x \leq 7
  $$

**Example Usage:**
- After 3 days of practice:
  $$
  f(3) = 210 - 30(3) = 210 - 90 = 120 \text{ minutes remaining}
  $$

- After 7 days of practice:
  $$
  f(7) = 210 - 30(7) = 210 - 210 = 0 \text{ minutes remaining}
  $$

**Final Function:**
$$
f(x) = 210 - 30x
$$
The function representing the number of minutes Denzel still has to practice after $$ x $$ days is: $$ f(x) = 210 - 30x $$

Denzel must practice the piano for 210 minutes each weok. He practices for 30 minute each day Part A Whte a function to represent the number of minutes Denzel still has to practice after \( x \) days.

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