Question

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)ResponsesLinear 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 $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.

Answer 1

To compare the initial values of the two linear functions, we need to identify the initial values based on the given information.

Linear Function 1 does not provide a variable, but we can interpret it as a flat rate:

• It costs $45 per month. Therefore, when \( x = 0 \) (initial month), the cost \( y \) is $45.

Linear Function 2 is given in the form of \( y = 40x + 60 \):

• Here, when \( x = 0 \), we substitute \( 0 \) for \( x \): \[ y = 40(0) + 60 = 60 \]
• Thus, the initial value for Linear Function 2 is $60.

Now we can summarize the initial values:

• Linear Function 1 initial value: $45
• Linear Function 2 initial value: $60

Comparing these two values:

• $45 (Linear Function 1) is less than $60 (Linear Function 2).

Therefore, 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.