Question
Use the graph to answer the following questions: (6 points) 1) Is the graph increasing or decreasing? 2) Is the graph linear or non linear? 3) What is the slope? 4) What does the slope mean in context? 5) What is the x-intercept? 6) What does the x-intercept mean in context?
X is linear feet
Y is Cost in $
The line starts from 150 on the y axis and goes to the right increasing. It it reaches 450 on the y axis and is like abox 20 on the x axis
answers:
increasing - decreasing
linear - nonlinear
15/1
1/15
5/1
The cost is rising $15/linear foot
It cost $1 for 15 feet of fence
(150, 0)
(-10, 0)
The starting cost is $100
no meaning - you cant have negative linear feet
X is linear feet
Y is Cost in $
The line starts from 150 on the y axis and goes to the right increasing. It it reaches 450 on the y axis and is like abox 20 on the x axis
answers:
increasing - decreasing
linear - nonlinear
15/1
1/15
5/1
The cost is rising $15/linear foot
It cost $1 for 15 feet of fence
(150, 0)
(-10, 0)
The starting cost is $100
no meaning - you cant have negative linear feet
Answers
Answer
is the slope
5/1
1/15
or
15/1
5/1
1/15
or
15/1
Answered by
GPT-4o mini
Based on your description, here are the responses to the questions about the graph:
1) **Is the graph increasing or decreasing?**
- **Increasing**: The graph starts at 150 on the y-axis and goes up to 450, indicating it is increasing.
2) **Is the graph linear or non-linear?**
- **Linear**: The description suggests a straight line, which means it is linear.
3) **What is the slope?**
- The slope is calculated as the change in y over the change in x. From your information, it appears the slope is **15/1** (for every unit increase in linear feet, the cost increases by $15).
4) **What does the slope mean in context?**
- The slope means that the cost is rising by $15 for every linear foot of fencing.
5) **What is the x-intercept?**
- From your context, if the cost starts at $150 (the y-intercept) and increases linearly, the x-intercept would be where the cost is $0. It appears you mentioned an approximate x-intercept of **(-10, 0)**, but if costs can't go negative or if linear feet can't be negative, then 0 might not be a valid interpretation.
6) **What does the x-intercept mean in context?**
- The x-intercept would mean that at that point, the cost to obtain zero fees (i.e., no fencing) is $0 (but tracking into negative feet is not physically meaningful; thus, there would be no practical meaning to this scenario).
### Final Answers:
1) Increasing
2) Linear
3) 15
4) The cost is rising $15 per linear foot.
5) Approximately (-10, 0), but not practically meaningful based on context.
6) Theoretical; it indicates at that point, the cost would be zero (but in practice, negative linear feet doesn't make sense).
Please let me know if you would like to clarify any parts of this analysis!
1) **Is the graph increasing or decreasing?**
- **Increasing**: The graph starts at 150 on the y-axis and goes up to 450, indicating it is increasing.
2) **Is the graph linear or non-linear?**
- **Linear**: The description suggests a straight line, which means it is linear.
3) **What is the slope?**
- The slope is calculated as the change in y over the change in x. From your information, it appears the slope is **15/1** (for every unit increase in linear feet, the cost increases by $15).
4) **What does the slope mean in context?**
- The slope means that the cost is rising by $15 for every linear foot of fencing.
5) **What is the x-intercept?**
- From your context, if the cost starts at $150 (the y-intercept) and increases linearly, the x-intercept would be where the cost is $0. It appears you mentioned an approximate x-intercept of **(-10, 0)**, but if costs can't go negative or if linear feet can't be negative, then 0 might not be a valid interpretation.
6) **What does the x-intercept mean in context?**
- The x-intercept would mean that at that point, the cost to obtain zero fees (i.e., no fencing) is $0 (but tracking into negative feet is not physically meaningful; thus, there would be no practical meaning to this scenario).
### Final Answers:
1) Increasing
2) Linear
3) 15
4) The cost is rising $15 per linear foot.
5) Approximately (-10, 0), but not practically meaningful based on context.
6) Theoretical; it indicates at that point, the cost would be zero (but in practice, negative linear feet doesn't make sense).
Please let me know if you would like to clarify any parts of this analysis!
Answered by
GPT-4o mini
Based on the context you provided, where the cost increases as a function of linear feet, the slope of the line represents the rate of change of cost ($) relative to the change in linear feet (x-axis).
From your earlier description, you stated that the cost rises by $15 for each linear foot of fencing. Therefore, the slope can be expressed as:
- **Slope = Change in Cost / Change in Linear Feet = $15 / 1 linear foot = 15/1**
So the correct slope is:
**15/1**
If the slope were to be expressed otherwise (like 5/1 or 1/15), those would not accurately represent the rate of increase based on the given details.
To summarize:
- **Correct Slope:** **15/1** (indicating the cost increases by $15 for every additional linear foot of fencing).
From your earlier description, you stated that the cost rises by $15 for each linear foot of fencing. Therefore, the slope can be expressed as:
- **Slope = Change in Cost / Change in Linear Feet = $15 / 1 linear foot = 15/1**
So the correct slope is:
**15/1**
If the slope were to be expressed otherwise (like 5/1 or 1/15), those would not accurately represent the rate of increase based on the given details.
To summarize:
- **Correct Slope:** **15/1** (indicating the cost increases by $15 for every additional linear foot of fencing).
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