here is the question:
22. state whether the quanitity has a direct variation.
The Circumference C if a circle and it's diameter d are related by the equation C=(pie symbol)d.
ok i have no idea my math teacher didnt explain this to me. can you help me understand better.
2007-11-28 09:26:20 · 4 answers · asked by mveeyore_luver 4 in Science & Mathematics ➔ Mathematics
direct variation is when both things increase or decrease at the same time. y/x = constant or y = kx
since C = pi D and pi is a constant. C and D are direct variants.
2007-11-28 09:32:42 · answer #1 · answered by norman 7 · 0⤊ 0⤋
Yes there is a direct variation. This means one varies linearly with the other i.e. if you double the diameter of a circle, the circumference doubles. Any equations of the type y=kx have a direct variation, in other words (dividing both sides by x) the expression y/x is always constant, with the value k.
2007-11-28 17:32:54 · answer #2 · answered by Anonymous · 0⤊ 0⤋
If two variables have a direct variation, it means that one element directly affects the other. So, in other words, if you change d, it changes C in the same direction. So, if I increase d, C increases as well. And yes, this is a direct variation. As the diameter of a circle increases, the circumference of the circle increases as well, in direct proportion with the diameter.
2007-11-28 17:31:19 · answer #3 · answered by football_guy_it51 3 · 0⤊ 0⤋
Yes, direct variation. When the value d increases, the value C also increases.
The opposite of direct variation is inverse variation where one value increases and the other decreases.
2007-11-28 17:32:28 · answer #4 · answered by Samson the Guinea Pig 3 · 0⤊ 0⤋