Respuesta :
The number of students enrolling at a high school increases each year by a factor of 1.25, which is a non-linear function (exponential function) as the growth also goes on growing, and is not constant. Hence, option A is the correct choice.
What does linear function mean?
A quantity grows (or depreciates) linearly if it increases (or decreases) by the same amount per unit of time.
What does non-linear function mean?
A quantity grows (or depreciates) non-linearly if the increase (or decrease) in the amount is not the same per unit of time.
How to solve the question?
In the question, we are asked to identify the non-linear functions among the given options.
We assess each option and then try to identify whether it is a linear or non-linear function.
- A. The number of students enrolling at a high school increases each year by a factor of 1.25: This is a non-linear function (exponential function) as the growth also goes on growing, and is not constant.
- B. A soccer manufacturing company spends $5 on each soccer ball: This is a linear function as every quantity increase increases by a fixed (constant) price.
- C. The number of dogs in a town increases by 20 per neighborhood per year: This is a linear function as every quantity increase increases by a fixed (constant) number of dogs per neighborhood.
- D. The items at a clothing store are sold at a discount of 20% off the original price: This is a linear function as every quantity decreases by a fixed (constant) price.
Therefore, the number of students enrolling at a high school increases each year by a factor of 1.25, which is a non-linear function (exponential function) as the growth also goes on growing, and is not constant. Hence, option A is the correct choice.
Learn more about linear and non-linear functions at
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