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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.

1 answer

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.