Describe the relationship between the two quantities. amount of money earned; number of hours worked a. inverse b. direct c. joint d. compound

Option: b is the correct answer.

                            b. direct

Direct variation--

Two variables x and y are said to be in direct variation if there exist a constant k such that:

i.e. with the increase or decrease in one variable the other variable also increase or decrease.

Here the two quantities are:

Amount of money earned

Number of hours worked.

Since we know that the number of hour one will work more/less , more/less will be the amount of money earned.

i.e. the amount of money is calculated by the number of hours worked.

Hence, there will be a direct variation between the two quantities.

e) none of the above because the measure of angle cba is 101°

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: