Ron made 3 pitchers of lemonade sell at a lemonade stand. The cost of making the lemonade is 50 cents per pitcher of lemonade. He sold each cup of lemonade for 15 cents, and he sold a total of 36 cups of lemonade.

How much money did Ron make selling lemonade after paying out the cost of making the lemonade?

Step-by-step explanation:

cost = 3 pitchers × $0.50/pitcher = $1.50

revenue = 36 cups × $0.15/cup = $5.40

profit = $5.40 - $1.50 = $3.90

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: