Naomi wants to take yoga classes. she can take classes at the high school for a one-time fee of $20 plus $10 per class. she can join the local gym for $50 and take classes for $5 per class. which statement is true about the average cost for the two options?

a. the high school option costs less per class for six classes.
b. the gym option costs less per class for six classes.
c. the high school option costs less per class for seven classes.
d. the gym option costs less per class for seven classes.

 The correct option is

(D) The gym option costs less per class for seven classes.

Step-by-step explanation:  Given that Naomi wants to take yoga classes.

She can take classes at the high school for a one-time fee of $20 plus $10 per class. She can join the local gym for $50 and take classes for $5 per class.

We are to select the TRUE statement about the average cost for the two options.

According to the given information, we have

the cost for high school option for six classes is given by

the cost for gym option for six classes is given by

the cost for high school option for seven classes is given by

and

the cost for gym option for seven classes is given by

Therefore, the gym option costs less per class for seven classes.

Thus, option (D) is CORRECT.

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:

17.08

correct me if i am wrong.