Question

. Volunteer drivers are needed to bring 80 students to the championship baseball game. Drivers either have cars, which can seat 4 students, or vans, which can seat 6 students. The equation 4c+6v=80 describes the relationship between the number of cars, c, and number of vans, v, that can transport exactly 80 students.

Select all statements that are true about the situation.

If 12 cars go, then 2 vans are needed.
c=14 and v=4 are a pair of solutions to the equation.
If 6 cars go and 11 vans go, there will be extra space.
10 cars and 8 vans isn’t enough to transport all the students.
If 20 cars go, no vans are needed.
8 vans and 8 cars are numbers that meet the constraints in this situation.

Answer 1

3v +2c=32 students

Explanation:

Answer 2

Answer:ALL OF THESE ARE TRUE

c=14 and v=4 are a pair of solutions to the equation.

If 20 cars go, no vans are needed.

8 vans and 8 cars are numbers that meet the constraints in this situation.

Explanation:

1. If 12 cars go, then 2 vans are needed.

(4)(12)+(6)(2) = 80

60≠80

False

2.c=14 and v=4 are a pair of solutions to the equation.

(4)(14)+(6)(4) = 80

80=80

True

3.If 6 cars go and 11 vans go, there will be extra space.

(4)(6)+(6)(11) = 80

90≠80

False

4. 10 cars and 8 vans isn’t enough to transport all the students.

(4)(10)+(6)(8) = 80

88≠80

False and is wrong because it would leave extra space

5. If 20 cars go, no vans are needed.

(4)(20)+(6)(0) = 80

80=80

True

6. 8 vans and 8 cars are numbers that meet the constraints in this situation.

(4)(8)+(6)(8) = 80

80=80

True