Drag each value and expression to the correct location on the equation

Oct 13, 2025 by talynt.org 52 views

**Drag each value and expression to the correct location on the equation**

Understanding the Problem

A patch of farmland is currently worth $78,125. The expected increase in its market value can be modeled by the function below:

Equation:

f(x) = 2x^2 + 5x + 12

Values and Expressions:

78,125
2
5
12
x^2
x
2x^2
5x
12 + x

Drag each value and expression to the correct location on the equation

To solve this problem, we need to match each value and expression with the correct location on the equation. We will go through each option and explain why it is correct or incorrect.

Q1: What is the current value of the farmland?

A) 2x^2 B) 5x C) 12 + x D) 78,125

Answer: D) 78,125

The current value of the farmland is given as $78,125.

Q2: What is the coefficient of the x^2 term?

A) 2 B) 5 C) 12 D) 78,125

Answer: A) 2

The coefficient of the x^2 term is 2.

Q3: What is the constant term?

A) 2 B) 5 C) 12 D) 78,125

Answer: C) 12

The constant term is 12.

Q4: What is the coefficient of the x term?

A) 2 B) 5 C) 12 D) 78,125

Answer: B) 5

The coefficient of the x term is 5.

Q5: What is the value of x^2?

A) 2 B) 5 C) 12 D) x^2

Answer: D) x^2

The value of x^2 is not given, it is a variable.

Q6: What is the value of x?

A) 2 B) 5 C) 12 D) x

Answer: D) x

The value of x is not given, it is a variable.

Q7: What is the value of 2x^2?

A) 2 B) 5 C) 12 D) 2x^2

Answer: D) 2x^2

The value of 2x^2 is not given, it is an expression.

Q8: What is the value of 5x?

A) 2 B) 5 C) 12 D) 5x

Answer: D) 5x

The value of 5x is not given, it is an expression.

Q9: What is the value of 12 + x?

A) 2 B) 5 C) 12 D) 12 + x

Answer: D) 12 + x

The value of 12 + x is not given, it is an expression.

Q10: What is the correct equation?

A) f(x) = 2x^2 + 5x + 12 B) f(x) = 2x^2 + 5x + 78,125 C) f(x) = 2x^2 + 12 + x D) f(x) = 5x + 12 + x

Answer: A) f(x) = 2x^2 + 5x + 12

The correct equation is f(x) = 2x^2 + 5x + 12.

Conclusion

In this problem, we were given an equation and a set of values and expressions. We needed to match each value and expression with the correct location on the equation. We went through each option and explained why it is correct or incorrect. The correct equation is f(x) = 2x^2 + 5x + 12.