Question

understand systems of linear equations — instruction — level h on a field trip, there will be 1 chaperone for every 11 students. a bus has room for 60 passengers. principal rodriguez wants to know how many chaperones and students to assign to each bus. y = 11x x + y = 60 complete the table to show the number of students for each number of chaperones. chaperones (x) students (y) 3 33 4 44 5 55 6 66 complete the table to show different ways to fill a bus. chaperones (x) students (y) 3? 4? 5? 6?

Explanation:

Step1: For the right table, use \( x + y = 60 \)

We know the formula to find \( y \) (students) when \( x \) (chaperones) is given is \( y = 60 - x \).

Step2: Calculate for \( x = 3 \)

Substitute \( x = 3 \) into \( y = 60 - x \). So \( y = 60 - 3 = 57 \).

Step3: Calculate for \( x = 4 \)

Substitute \( x = 4 \) into \( y = 60 - x \). So \( y = 60 - 4 = 56 \).

Step4: Calculate for \( x = 5 \)

Substitute \( x = 5 \) into \( y = 60 - x \). So \( y = 60 - 5 = 55 \).

Step5: Calculate for \( x = 6 \)

Substitute \( x = 6 \) into \( y = 60 - x \). So \( y = 60 - 6 = 54 \).

Answer:

For the right table:

• When \( x = 3 \), \( y = 57 \)
• When \( x = 4 \), \( y = 56 \)
• When \( x = 5 \), \( y = 55 \)
• When \( x = 6 \), \( y = 54 \)