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2 answers:
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Answer:
The constant of variation is 4032
Step-by-step explanation:
Given:
Let a rectangle (say A) has length of rectangle(l)= 72 cm and width of rectangle(w) = 56 cm.
Area of rectangle is multiply its length by its width.
Then,
area of rectangle (A) = =
= 4,032 square cm.
It is given that the other rectangle B has the same area as the rectangle A.
Then, the area of rectangle (B) = area of rectangle (A) = 4,032 square cm. .......[1]
First find the length of rectangle B:
Given: width of the rectangle B is 21 cm
then, by definition
Area of rectangle B = =
From [1];
4032 =
Divide 21 both sides we get;
cm
therefore, the length of rectangle B is 192 cm
To find the constant variation:
if y varies inversely as x
i.e,
⇒ where k is the constant variation.
or k = xy
As area of rectangle is multiply its length by width.
This is the inversely variation.
as:
or where A is the constant of variation
Since, the area (A) of both the rectangles are constant.
therefore, the constant of variation is, 4032
Since Louis jumped 270 times in 6 hours this means that she jumped:
45 times per hour.
Now we need to find how many times she jumped per minute to do this we have to remember that one hour has 60 minutes then we divide the number of jumps per hour by the 60 minutes, that is:
This means that she jumps 0.75 times per minute. Finally to find out how many times she jumped in foour minutes we multiply the 0.75 by 4:
Therefore, Louis jumped 3 times in four minutes.