You are choosing between two health clubs. Club A offers membership for a fee of $ 18 plus a monthly fee of $ 12. Club B offers membership for a fee of $ 16 plus a monthly fee of $ 13. After how many months will the total cost of each health club be the same? What will be the total cost for each club?

The answer to your question is a) 2 months; b) $42.

Step-by-step explanation:

Data

Club A                           Club B

membership = $18        membership = $16

fee  = $12                       fee = $13

Total cost = y

months = x

Process

1.- Write equations to solve this problem

Club A       y = $12x + 18

Club B       y = $13x + 16

2.- Solve the system of equations by equality

                 12x + 18 = 13x + 16

                 12x - 13x = 16 - 18

                          - x = -2

                            x = 2

3.- Conclusion

After 2 months, the cost of both clubs will be the same.

4.- Total cost

Club A           y = 12(2) + 18

                     y = 24 + 18

                     y = $ 42          

Club B           y = $13(2) + 16

                     y = 26 + 16

                     y = $42

The total cost will be $42.

total of apples - take away four

6-4 = 2

answer is 2 apples

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: