Question

Compare Linear Function 1 with Linear Function 2. Which one has the lesser initial value? Linear Function 1: Lionel’s cell phone plan costs $45 per month. Linear Function 2: The relationship between the number of months Ruby has had her cell phone (x) and the total cost (y) is given by y=40x+60 . (1 point)

Linear Function 2 has the lesser initial value, with an initial value equal to $40 while Linear Function 1 has an initial value equal to $45. Linear Function 2 has the lesser initial value, with an initial value equal to $40 while Linear Function 1 has an initial value equal to $45. Linear Function 1 has the lesser initial value, with an initial value equal to $0 while Linear Function 2 has an initial value equal to $40. Linear Function 1 has the lesser initial value, with an initial value equal to $0 while Linear Function 2 has an initial value equal to $40. Linear Function 1 has the lesser initial value, with an initial value equal to $45 while Linear Function 2 has an initial value equal to $60. Linear Function 1 has the lesser initial value, with an initial value equal to $45 while Linear Function 2 has an initial value equal to $60. Linear Function 1 has the lesser initial value, with an initial value equal to $0 while Linear Function 2 has an initial value equal to $60.

Answer 1

To compare the initial values of Linear Function 1 and Linear Function 2, we need to understand what each function represents.

**Linear Function 1**:
- Lionel’s cell phone plan costs $45 per month.
- This means that the cost (y) can be represented as:
\[
y = 45x
\]
where \(x\) is the number of months. The initial value (when \(x = 0\)) is simply $0, since there are no months counted yet.

**Linear Function 2**:
- The relationship between the number of months Ruby has had her cell phone (x) and the total cost (y) is given by:
\[
y = 40x + 60
\]
In this case, the initial value (when \(x = 0\)) is $60.

### Comparison of Initial Values
- Linear Function 1 has an initial value of \(0\).
- Linear Function 2 has an initial value of \(60\).

### Conclusion
Linear Function 1 has the lesser initial value, equal to $0, compared to Linear Function 2's initial value of $60.