Question
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 $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.
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.
Answers
GPT-4o mini
To compare the initial values of Linear Function 1 and Linear Function 2, let's analyze each function.
**Linear Function 1:**
Lionel’s cell phone plan costs $45 per month.
- This can be interpreted as a linear function where the total cost (y) after x months can be represented as:
\( y = 45x \)
- Here, the initial value when \( x = 0 \) is \( y = 45(0) = 0 \).
**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:
\( y = 40x + 60 \)
- In this equation, when \( x = 0 \):
\( y = 40(0) + 60 = 60 \)
- Thus, the initial value for Linear Function 2 is 60.
Now, we compare the initial values:
- Linear Function 1 has an initial value of \( 0 \).
- Linear Function 2 has an initial value of \( 60 \).
From our comparison, Linear Function 1 has the lesser initial value of \( 0 \) while Linear Function 2 has an initial value of \( 60 \).
Thus, the correct statement is:
**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:**
Lionel’s cell phone plan costs $45 per month.
- This can be interpreted as a linear function where the total cost (y) after x months can be represented as:
\( y = 45x \)
- Here, the initial value when \( x = 0 \) is \( y = 45(0) = 0 \).
**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:
\( y = 40x + 60 \)
- In this equation, when \( x = 0 \):
\( y = 40(0) + 60 = 60 \)
- Thus, the initial value for Linear Function 2 is 60.
Now, we compare the initial values:
- Linear Function 1 has an initial value of \( 0 \).
- Linear Function 2 has an initial value of \( 60 \).
From our comparison, Linear Function 1 has the lesser initial value of \( 0 \) while Linear Function 2 has an initial value of \( 60 \).
Thus, the correct statement is:
**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.**