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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 $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.
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.

1 answer

To determine which linear function has the lesser initial value, we need to analyze each function.

Linear Function 1: Lionel’s cell phone plan costs $45 per month. This means that the cost of the cell phone at the start (initial value) is $45 when x = 0.

Linear Function 2: The relationship is given by \( y = 40x + 60 \). When \( x = 0 \) (indicating the initial time), we find the cost (initial value) by calculating \( y = 40(0) + 60 = 60 \).

Now we can compare the initial values:

  • Linear Function 1 has an initial value of $45.
  • Linear Function 2 has an initial value of $60.

Since $45 is less than $60, we can conclude:

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.