Martlitoidn
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II. Translate each statement into a mathematical sentence. Use k as the constant of variation. Write your

answer on the space provided before each number.

___________ 16. The area A of a triangle is proportional to its height h.

____________17. The distance D travelled by a car varies directly as its speed s.

____________ 18. Z varies directly to the square of x.

____________ 19. The number of persons n needed to do a job varies inversely as the number of days d

to finish the job.
____________ 20. The density d of air varies inversely as the volume v of water in the atmosphere.

____________ 21. B is inversely proportional to the cube of c.

____________ 22. The area A of a triangle varies jointly as the base b and the altitude h

____________ 23. The heat H produced by an electric lamp varies jointly as the resistance R and the

square of the current I.

____________ 24. The pressure P of a gas varies directly as its temperature t and inversely as its volume

V.

____________ 25. F is directly proportional to g and inversely proportional to the square of h​

Sagot :

VARIATIONS

Directions: Translate each statement into a mathematical sentence. Use k as the constant of variation.

16. The area A of a triangle is proportional to its height h.

  • [tex] \underline{ \boxed{ \orange { \tt \: A = kh}}}[/tex]

17. The distance D travelled by a car varies directly as its speed s.

  • [tex] \underline{ \boxed{ \orange { \tt \: D = ks}}}[/tex]

18. Z varies directly to the square of x.

  • [tex] \underline{ \boxed{ \orange { \tt \: Z = kx²}}}[/tex]

19. The number of persons n needed to do a job varies inversely as the number of days d to finish the job.

  • [tex] \underline{ \boxed{ \orange { \tt \: n= \frac{k}{d} }}}[/tex]

20. The density d of air varies inversely as the volume v of water in the atmosphere.

  • [tex] \underline{ \boxed{ \orange { \tt \: d= \frac{k}{v} }}}[/tex]

21. B is inversely proportional to the cube of c.

  • [tex] \underline{ \boxed{ \orange { \tt B = \frac{k}{ {c}^{3} } }}}[/tex]

22. The area A of a triangle varies jointly as the base b and the altitude h.

  • [tex] \underline{ \boxed{ \orange { \tt A= kbh}}}[/tex]

23. The heat H produced by an electric lamp varies jointly as the resistance R and the square of the current I.

  • [tex] \underline{ \boxed{ \orange { \tt H = kRI²}}}[/tex]

24. The pressure P of a gas varies directly as its temperature t and inversely as its volume V.

  • [tex] \underline{ \boxed{ \orange { \tt P = \frac{kt}{V} }}}[/tex]

25. F is directly proportional to g and inversely proportional to the square of h

  • [tex] \underline{ \boxed{ \orange {\tt F= \frac{kg}{ {h}^{2} } }}}[/tex]

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