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

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Answer:

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 statement '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' describes this case.

What is the ratio of the change?

The ratio of the change is the value that one values changes depending on the corresponding change suffered by another variable.

In this case, the ratio of the change is linear because both variables are directly (proportionally) related and determine a constant equation.

In conclusion, the statement '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' describes this case.

Learn more about the ratio of the change here:

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