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) Responses 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. 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.
Answers
GPT-4o mini
To compare the initial values of the two linear functions, we need to establish what their initial values are:
**Linear Function 1:**
Lionel’s cell phone plan costs $45 per month. The initial value here refers to the fixed cost, which is $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 \( y = 40x + 60 \). The initial value in this function corresponds to the constant term (the price when \( x = 0 \)), which is $60.
Now, comparing the two initial values:
- Linear Function 1 has an initial value of $45.
- Linear Function 2 has an initial value of $60.
Therefore, **Linear Function 1** has the lesser initial value.
So 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.**
**Linear Function 1:**
Lionel’s cell phone plan costs $45 per month. The initial value here refers to the fixed cost, which is $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 \( y = 40x + 60 \). The initial value in this function corresponds to the constant term (the price when \( x = 0 \)), which is $60.
Now, comparing the two initial values:
- Linear Function 1 has an initial value of $45.
- Linear Function 2 has an initial value of $60.
Therefore, **Linear Function 1** has the lesser initial value.
So 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.**