Ask a New Question
Menu

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 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 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 compare the initial values of both linear functions, we need to identify what the initial value is for each function.

Linear Function 1: Lionel's cell phone plan costs $45 per month. This means that the cost starts at $45 and stays constant every month:

  • Initial value = $45.

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 the formula: \[ y = 40x + 60 \] Here, when \( x = 0 \) (at the start, or initial value): \[ y = 40(0) + 60 = 60 \]

  • Initial value = $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 \( 45 < 60 \), Linear Function 1 has the lesser initial value.

The correct response is: 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.