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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) Responses 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. 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. 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 $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 $40.

1 answer

To compare the initial values of Linear Function 1 and Linear Function 2, let's analyze both functions.

Linear Function 1: Lionel’s cell phone plan costs $45 per month. This represents a linear function where the cost is constant at $45 for any month x, meaning the equation can be represented as: \[ y = 45x \] Here, if x = 0 (the initial time), y = $0. So, the initial value is $0.

Linear Function 2: The relationship given by: \[ y = 40x + 60 \] Here, the initial value can be found by evaluating the equation when x = 0: \[ y = 40(0) + 60 = 60 \] So the initial value for Linear Function 2 is $60.

Comparison:

  • Initial value of Linear Function 1 = $0
  • Initial value of Linear Function 2 = $60

Thus, Linear Function 1 has the lesser initial value.

Answer: 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.