Which explains whether or not the graph represents a direct variation?

Mathematics

2 answers:

AnnyKZ [126]2 years ago

8 0

The answer is A. I think

DedPeter [7]2 years ago

4 0

Answer:

A. The graph has a constant variation of 3, so it represents a direct variation.

Step-by-step explanation:

A direct variation is a relationship between two variables on a graph that can be shown by an equation.

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Let the 1st number be x; 2nd number be y; 3rd number be z.

x + y + z = 79

x = number we are looking for.
y = x * 5 ==> 5 times the first
z = x + 16 ==> 16 more than the first

Therefor,

x + (x * 5) + (x+16) = 79

1st step, multiply the 2nd number: x * 5 = 5x

x + 5x + x + 16 = 79

Add all like numbers:

7x + 16 = 79

To get x, transfer 16 to the other side and change its sign from positive to negative.

7x = 79 - 16
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To get x, divide both sides by 7

7x/7 = 63/7
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To check. Substitute x by 9.

x + (x * 5) + (x+16) = 79

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9 + 45 + 25 = 79
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