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
days.

Question

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.

UpStudy AI · Accepted Answer

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
days.

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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 days.

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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
days.