The fun guys game rental store charges an annual fee of $5 plus $6.50 per game rented. The game bank charges an annual fee of $17 plus $3.50 per game. For how many games rentals will the cost be the same at both stores? What is that cost?

A. 4 games

B. $31

Step-by-step explanation:

Fun guys game rental store:

5 + 6.50x

Game bank:

17 + 3.50x

Where,

x = number of games

For how many games rentals will the cost be the same at both stores?

Equate the charges of both stores

5 + 6.50x = 17 + 3.50x

5 - 17 = 3.50x - 6.50x

12 = 3x

Divide both sides by 3

x = 12/3

= 4

x = 4 games

What is that cost?

Game bank:

17 + 3.50x

= 17 + 3.50(4)

= 17 + 14

= $31

40 is the final : )

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation: