Question

The position of the squirrel can be calculated using the function ()=2++ 1) a = 2, b = +, c = + 2) a = 2, b = +, c = 3) a = 2, b =, c = + 4) a =, b = +, c = +

Answer 1

The correct expression for calculating the position of the squirrel is
`\( f(x) = 2x + 1 \).`

Step-by-step explanation:

The given expression is
`\( f(x) = ax + b + c \). By comparing the provided options, we can determine the values of \( a \), \( b \), and \( c \). In the correct option, \( a = 2 \), \( b = + \), and \( c = 1 \). Therefore, the correct expression is \( f(x) = 2x + 1 \).`

In the incorrect options:

1. Option 2 has the correct values for \( a \) and \( b \) but incorrect \( c \).

2. Option 3 has the correct values for \( a \) and \( c \) but incorrect \( b \).

3. Option 4 has the correct value for \( b \) but incorrect \( a \) and \( c \).

Understanding the correct expression is essential for accurate calculations. In \( f(x) = 2x + 1 \), \( a \) represents the coefficient of the variable \( x \), \( b \) represents the constant term, and \( c \) is the constant added to the function. In this case, the squirrel's position (\( f(x) \)) is determined by doubling the value of \( x \) and adding 1. This aligns with the standard form of a linear function, where \( f(x) \) is dependent on \( x \) with a specific coefficient and constant term.