Question

Horace is a clarinet player in the school band. The band director assigns

Horace to practice for a total of 19 hours outside of class this month. Horace
spends 7 hours after school in the band hall practicing, while the rest he does
at home. If Horace practices the clarinet for 4 hours per week at home, what
equation can represent the amount of at-home practice Horace did to reach the
assigned goal? Represent the number of weeks as the variable z.

Answer 1

The equation that represents Horace's at-home practice time to meet his goal is 7 + 4z = 19, where z is the number of weeks.

After isolating z, we find that Horace needs to practice for 3 weeks at home.

Step-by-step explanation:

Using the given data in the question, the equation that represent the amount of at-home practice Horace did to reach the assigned goal of 19 hours is: 7 + 4z = 19.

Here, Horace has already spent 7 hours after school practicing, and he practices 4 hours per week at home. The variable z represents the number of weeks he practices at home.

We set this equation equal to 19 because that is the total number of practice hours assigned by the band director.

To solve for z, we would subtract 7 from both sides to isolate the variable term on one side, giving us 4z = 12, and then divide both sides by 4, resulting in z = 3.

Therefore, Horace must practice for 3 weeks at home to achieve the total of 19 hours of practice time.