Aconcert hall sells half price tickets to members of the armed forces. for a concert last week, the hall sold 300 tickets altogether and 50 of the were to members of the armed forces. altogether, they made $6050. what is the normal ticket price? (without the military discount)

The normal ticket price is

Step-by-step explanation:

Let

x------> the normal ticket price

we know that

The linear equation that represent this situation is

Solve for x

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

1 is c

2 is a

3 is a

step-by-step explanation: