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3 years ago

Melissa believes the following graph shows direct variation. What is Melissa’s error?

Mathematics

2 answers:

balu736 [363]3 years ago

7 0

Hi there!

The function doesn't pass through the origin.

Any direct variation function must pass through the origin.

Hope this helps!

yawa3891 [41]3 years ago

6 0

Answer:

Option C.

Step-by-step explanation:

Melissa believes the following graph shows direct variation.

We need to find Melissa’s error.

If a variable y directly proportional to x, the

$y\propto x$

It can be written as

$y=kx$

where, k is constant of proportionality.

It is a linear function with slope k and it passes through the origin.

From the given graph it is clear that the function is a straight line, it means the graph is a linear function and the rate change is constant.

But, it does not pass through the origin. So, the given graph does not represent the direct variation.

Therefore, the correct option is C.

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ss7ja [257]

Answer:

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Step-by-step explanation:

The vertex of the function can be found in the most lower value that the function can have.

Since we have an ABS function involved we need to analyse it at first

We know that |x| = x if x> 0 and |x| = -x if x< 0

if we now change x by x-2 (the content of our ABS function involved, we have the following

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x-2=0, this means that x=2 is the lowest value the ABS(X-2) has and it is equals to zero.

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