A 500-seat theater charges $5 per ticket for students and $8 per ticket for adults. All seats for the performance tonight are filled and total ticket sales are $3400. If you use your graphing calculator to solve the system of equations you found in the previous question, which of the following are correct equations to graph? Select all that apply.

see the explanation

Step-by-step explanation:

Let

x ----> the number of student tickets

y ---> the number of adult tickets

we know that

All seats for the performance tonight are filled (Is a 500-seat theater)

so

----> equation A

Total ticket sales are $3400

so

-----> equation B

Solve the system by graphing

Remember that the solution is the intersection point both graphs

The solution is the point (200,300)

see the attached figure

therefore

The number of student tickets sold was 200 and the number of adult tickets sold was 300

since the airplane is moving with constant speed then the distance travelled can be calculated by x=u*t

in km/h would be:

x=640*3.5=2.240 km

in m/s would be:

u=640 km/h= 640.000 m/h =640.000/ 3600 m/s =177.8 m/s

t= 3.5 h= 3.5 * 3600 s=12.600 s

then x=u*t= 177.8*12.600= 2.240.280 m