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.

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:** \[ f(x) = 210 - 30x \]