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The final cost of a sale item is determined by multiplying the price on the tag by 75%. Which best describes the function that represents the situation?

-It is linear because the ratio of the change in the final cost compared to the rate of change in the price tag is constant.
-It is linear because the function is continuous.
-It is nonlinear because the final cost is determined by multiplying each price tag by 0.75.
-It is nonlinear because the price tag and final cost columns do not have the same common difference.

GRAPH :
Price on the tag X
$10
$20
$30
$40

Final cost Y
0.75 (10)
0.75 (20)
0.75 (30)
0.75 (40)

Respuesta :

sqdancefan

The expected answer here is ...

... It is linear because the ratio of the change in the final cost compared to the rate of change in the price tag is constant.

The answer should be worded ...

... It is linear because the ratio of the change in the final cost  ̶c̶o̶m̶p̶a̶r̶e̶d̶ to the  ̶r̶a̶t̶e̶ ̶o̶f̶ change in the price tag is constant.

_____

The "strikeout" words should be removed to make the answer correct.

Using function concepts, it is found that the correct option is the first one, that is:

It is linear because the ratio of the change in the final cost compared to the rate of change in the price tag is constant.

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  • A linear function is described in the following format:

[tex]y = mx + b[/tex]

In which m is the slope and b is the y-intercept.

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  • The final cost is the price on the tag multiplied by 75%, which can be represented by the following function:

[tex]y = 0.75x[/tex]

Which is in the format of a linear function, thus, the first option is correct.

A similar problem is given at https://brainly.com/question/20931467

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