every 3 days William has to take medication for his back. Every 7 days he has to take medication for asthma. On what day will Wi
2 answers:
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<h2>Answer/Step-by-step explanation:</h2>
Direct variation occurs when a variable varies directly with another variable. That is, as the x-variable increases, the y-variable also increases.
The ratio of between y-variable and x-variable would be constant.
Direct variation can be represented by the equation, , where k is a constant. Thus,
From the table given, it seems, as x increases, y also increases. Let's find out if there is a constant of proportionality (k).
Thus, ratio of y to x,
k = 0.5.
If the given table of values has a direct variation relationship, then, plugging in the values of any (x, y), into , should give us the same constant if proportionality.
Let's check:
When x = 2, and y = 1:
,
,
When x = 3, y = 1.5:
,
When x = 5, y = 2.50:
,
The constant of proportionality is the same. Therefore, the relationship forms a direct variation.
The pool's dimension are l = 2.7 m and w = 1.2 m
Step-by-step explanation:
Step 1 :
Given
The pool's perimeter = 7.8 m
Four times the pool's length = nine times the pool's width.
=> 4l = 9w => l = () w
Where l is the pool's length and w is the pool's width
Step 2:
The rectangle's formula for perimeter is 2 (l+w)
Substituting l = () w ,
2[ () w + w] = 7.8 (given)
() w = 7.8 = > w = 1.2 m
Step 3 :
l = () w = (
) 1.2 = 2.7
l = 2.7 m
Step 4 :
Answer :
The pool's dimension are l = 2.7 m and w = 1.2 m