If y varies directly as x, and y is 20 when x is 4, what is the constant of variation for this relation? a) 1/5 b) 4/5 c) 5 d) 16

C) 5

Step-by-step explanation:

The problem tell us that y is directly proportional to x, so we can represent this mathematically by:

Where:

If we evaluate the data provided by the problem, then:

Solving for c, dividing both sides by 4:

Hence, the proportionality constant or the constant of variation is 5

7. d. 64

8. i. 32

9. c. 125

10. j. none of the above

11. d. 81

12. i. 216

13. e. none of the above

14. g. 240

15. e. none of the above

16. g. 32

17.   e. none of the above

i believe the correct answer is option 4.principalities were small territories that were run by russian rulers.

which statement correctly defines principalities in northern asia in the 1200s? principalities were small territories that were run by russian rulers.

hope i could ! : )