Suppose that there are two types of tickets to a show: advance and same-day. the combined cost of one advance ticket and one same-day ticket is $65 . for one performance, 20 advance tickets and 30 same-day tickets were sold. the total amount paid for the tickets was $1700 . what was the price of each kind of ticket?

So for this, we will create a system of equations. With our information given, these are our two equations (let x = advance and y = same-day):

So for this system, I will be using the substitution method. With the first equation, subtract both sides by y:

Now that we know that x is equal to 65 - y, substitute that into the second equation and solve for y:

Now that we know the value of y, substitute that into either equation to solve for x:

In short:

let f (x ) is a function and c be a positive real number,   the graph of the function g (x ) = f (cx ) is represented as follows.

when, c > 1,   the function compresses it in the x - direction.

when, 0 < c < 1, the function stretches it.

the function is g ( x ) = (9x )2.

the heighest power of x in g ( x ) = (9x )2 is 2, so the parent function is square function.

the equation of parent function is f ( x ) = x 2 .

the function is g ( x ) = (9x )2 and the parent function is f ( x ) = x 2 .

so, the functions f and g have the following relationship.

g ( x ) = f ( 9x ).

compare the function g ( x ) = f ( 9x ) with g (x ) = f (cx ).

c = 9 ( > 1 ).

so, the function g (x ) = (9x )2 compresses it in the x - direction.

step-by-step explanation: