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 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: 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 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.
Answers
GPT-4o mini
To compare the initial values of the two linear functions, we need to evaluate them when the variable \( x \) (representing the number of months) is equal to zero.
**Linear Function 1**:
Lionel’s cell phone plan costs $45 per month. Therefore, the cost for 0 months (initial value) is:
\[
y = 45 \cdot 0 = 0
\]
Thus, the initial value is $0.
**Linear Function 2**:
The relationship is given by the equation \( y = 40x + 60 \). Evaluating this at \( x = 0 \) gives:
\[
y = 40 \cdot 0 + 60 = 60
\]
Thus, the initial value is $60.
Now we can compare the two initial values:
- Linear Function 1: $0
- Linear Function 2: $60
Therefore, **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 $0 while Linear Function 2 has an initial value equal to $60.**
**Linear Function 1**:
Lionel’s cell phone plan costs $45 per month. Therefore, the cost for 0 months (initial value) is:
\[
y = 45 \cdot 0 = 0
\]
Thus, the initial value is $0.
**Linear Function 2**:
The relationship is given by the equation \( y = 40x + 60 \). Evaluating this at \( x = 0 \) gives:
\[
y = 40 \cdot 0 + 60 = 60
\]
Thus, the initial value is $60.
Now we can compare the two initial values:
- Linear Function 1: $0
- Linear Function 2: $60
Therefore, **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 $0 while Linear Function 2 has an initial value equal to $60.**