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 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 $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 $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 $0 while Linear Function 2 has an initial value equal to $60.
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 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 $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 $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 $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:
1. **Linear Function 1**: This represents a monthly cost of $45. Since this is a flat monthly rate, the initial value (cost when x = 0) is $45.
2. **Linear Function 2**: The cost function is given by \( y = 40x + 60 \). Here, the initial value is the constant term, which is $60 (the cost at x = 0).
Now, to summarize the initial values:
- Linear Function 1 has an initial value of $45.
- Linear Function 2 has an initial value of $60.
Comparing these two values, we see that:
- **Linear Function 1 ($45)** is less than **Linear Function 2 ($60)**.
Therefore, 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.**
1. **Linear Function 1**: This represents a monthly cost of $45. Since this is a flat monthly rate, the initial value (cost when x = 0) is $45.
2. **Linear Function 2**: The cost function is given by \( y = 40x + 60 \). Here, the initial value is the constant term, which is $60 (the cost at x = 0).
Now, to summarize the initial values:
- Linear Function 1 has an initial value of $45.
- Linear Function 2 has an initial value of $60.
Comparing these two values, we see that:
- **Linear Function 1 ($45)** is less than **Linear Function 2 ($60)**.
Therefore, 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.**