Maths-

General

Easy

Question

# Kiyo used a quadratic function to model data with constant first differences . Explain the error kiyo Made .

Hint:

### 1. When the difference between 2 consecutive output values (y values) for a given constant change in the input values (x values) is constant. i.e. y(n)- y(n-1) is constant for any value of n, the function is known as a linear function.

2. When the difference between 2 consecutive differences for output values (y values) for a given constant change in the input values (x values) is constant. i.e. dy(n)- dy(n-1) is constant for any value of n, the function is known as a quadratic function.

## The correct answer is: The error made by Kiyo is that he erroneously used quadratic function to model data with constant first difference.

### Step-by-step solution:-

From the above definitions, we can conclude that first difference is constant for a linear function and second difference is constant for a quadratic equation.

In the given question, Kiyo is working on data which has a constant first difference. Hence, it is a linear function.

Hence, linear function should have been used to model the given data.

However, Kiyo used quadratic function to model the data.

Hence, the error made by Kiyo is that he erroneously used quadratic function to model data with constant first difference.

Final Answer:-

∴ The error made by Kiyo is that he erroneously used quadratic function to model data with constant first difference.

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