Question

drew practices piano at least 45 minutes per day. he has already practiced 18.5 minutes today. determine how much longer he will have to practice. then interpret the solution. (example 1)

Explanation:

Step1: Define variable for remaining practice

Let $x$ = minutes left to practice.

Step2: Set up inequality for total practice

Total practice ≥ 45, so $18.5 + x \geq 45$

Step3: Solve for $x$

Subtract 18.5 from both sides:
$x \geq 45 - 18.5$
$x \geq 26.5$

Step4: Interpret the solution

The value $x$ represents the additional minutes Drew needs to practice to meet his daily minimum. So Drew must practice at least 26.5 more minutes.

Answer:

Drew has to practice at least 26.5 more minutes. This means any value of 26.5 minutes or more of additional practice will ensure he meets his daily minimum of 45 minutes of piano practice.