Okay, let's address the questions step by step using the table provided:
### Completing the Missing Numbers (A-D)
1. Finding A:
- In the table, when 2 students are working, they wash 30 cars.
- Since these wash cars proportionally (directly), 1 student will wash half the number of cars that 2 students wash.
- Therefore, A = 30 / 2 = 15.
2. Finding B:
- B corresponds to 2 as seen directly in the table.
- So, B = 2.
3. Finding C:
- When 'C' students wash 6 cars and if 2 students wash 30 cars, it means 1 student washes 15 cars.
- Thus, C can be determined proportionally as: C = 6 cars / (30/2) cars per student = 6 / 15
- Hence, C = 0.4.
4. Finding D:
- When 12 students are working, they wash "D" cars and if 15 students wash 4 cars, using the proportion:
- D = (12 / 15) 4 = 3.2.
So, the completed table should have:
- A = 15
- B = 2
- C = 0.4
- D = 3.2
### If Six Students are Working, How Many Cars will Each One Have to Wash?
- Given that 2 students wash 30 cars, thus, 1 student washes 15 cars.
- Therefore, if 6 students are working, the total number of cars washed will be:
- Total cars = 6 15 = 90 cars.
### How Many Students will be Used if Each Student Only Washes TWO Cars?
- If each student washes 2 cars:
- Students needed = Total number of cars / Cars per student
- Students needed = 30 / 2
- Students needed = 15.
### Is the Graph an Example of Direct or Indirect Proportion? Justify the Answer.
- The graph is an example of direct proportion because as the number of students increases, the number of cars washed also increases proportionally. In direct proportion, the ratio between two variables is constant.
### Name the Dependent and the Independent Variables.
- Dependent Variable: Number of cars washed (this depends on the number of students).
- Independent Variable: Number of students (this determines the number of cars washed).
### Summary:
- Missing Numbers: A = 15, B = 2, C = 0.4, D = 3.2
- Total cars washed by 6 students: 90
- Number of students if each washes 2 cars: 15
- Proportion Type: Direct proportion
- Variables: Dependent - Number of cars washed, Independent - Number of students
