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.