Atheater where a drug abuse program is being presented seats 150 people. the proceeds will be donated to a local drug information center. admission is $2.00 for adults and $1.00 for students. every two adults must bring at least one student. how many adults and students should attend in order to raise the maximum amount of money?

there should be at least 100 adults and 50 students because if there are 100 hundred adults- that means there would be 1 student per 2 adults giving you 100 adults and 50 student equaling a total of 150 seats which is the max seats the theater can hold and that would raise

$2.00 x 100 = $200.00

$1.00 x 50 = $50.00

$200.00 + $50.00 = $250.00

$250.00 is the max amount of money the program can make and to make that $250.00--- 100 adults and 50 students would have to attend

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:

the forst and 3rd

step-by-step explanation: