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Natasha_Volkova [10]
3 years ago
6

Identify as a direct variation, inverse variation or neither. y = 6x

Mathematics
2 answers:
kramer3 years ago
7 0

Answer:

y=6x is a direct variation.

Step-by-step explanation:

In direct variation the relation between two variable is direct. It means y varies directly as x.

y\propto x

y=kx

Where, k is constant of proportionality.

In inverse variation the relation between two variable is inversely proportional. It means y varies inversely as x.

y\propto \frac{1}{x}

y=k \frac{1}{x}

Where, k is constant of proportionality.

The given function is

y=6x

It is direct variation because y varies directly as x and constant of proportionality is 6.

Therefore, y=6x is a direct variation.

Naddika [18.5K]3 years ago
5 0
This Is Direct Variation Because Y Always Varies Directly With X. It
Is Always 6 Times As Large As X.
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Answer:

The second equation can be used

Step-by-step explanation:

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Cherries $5 per pound and oranges per pound$2. He paid 18.00 for total weight which was 6 lbs how many pounds of cherries did Al
wel
Answer: 2 lbs of cherries

Cherries = $5 per pound
Oranges = $2 per pound
Total Cost = $18
Total weight = 6 lb

------------------------------------
Define x and y
------------------------------------
Let x be the number of lb of cherries
Let y be the number of lb of oranges

------------------------------------
Construct equations
------------------------------------
x + y = 6               ---------------------------- (1)
5x + 2y = 18         ---------------------------- (2)

------------------------------------------------------------------------
Solve x and y
------------------------------------------------------------------------
From equation (1):
x + y = 6 
x = 6 - y 

------------------------------------------------------------------------
Substitute x = 6 - y into equation 2
------------------------------------------------------------------------
5x + 2y = 18
5 (6 - y) + 2y = 18
30 - 5y + 2y = 18
3y = 30 - 18
3y = 12
y = 4

------------------------------------------------------------------------
Substitute y = 4 into equation (1)
------------------------------------------------------------------------
x + y = 6
x + 4 = 6
x = 2

------------------------------------------------------------------------
Find the weight of cherries and oranges
------------------------------------------------------------------------
Cherry = x = 2 lb
Oranges = y = 4 lbs 

------------------------------------------------------------------------
Answer: Alex bought 2 lb of cherries
------------------------------------------------------------------------
5 0
3 years ago
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