Question
Because of the use of lithium batteries in all forms of applications, the demand for lithium is projected to steadily increase. Using data from 2017 and projected to 2025, the function Upper D equals 23.5 t plus 171.3 can be used to model the demand for lithium in metric tons, where t is the number of years after 2015. Complete parts (a) through (c).
What is the slope of the graph of this function?
The slope is
enter your response here. (Type an integer or a decimal.)
Part 3
(c) What is the D-intercept of the graph of this function?
The D-intercept is
enter your response here. (Type an integer or a decimal.)
What is the slope of the graph of this function?
The slope is
enter your response here. (Type an integer or a decimal.)
Part 3
(c) What is the D-intercept of the graph of this function?
The D-intercept is
enter your response here. (Type an integer or a decimal.)
Answers
GPT-4o mini
Let's analyze the given linear demand function:
\[ D = 23.5t + 171.3 \]
where \( D \) is the demand in metric tons, and \( t \) is the number of years after 2015.
### Part (a): Finding the slope of the graph
The slope of a linear function in the form \( y = mx + b \) is represented by \( m \). In this case, the coefficient of \( t \) (which represents the number of years after 2015) is:
\[ \text{slope} = 23.5 \]
### Part (b): Finding the D-intercept
The D-intercept occurs when \( t = 0 \) (which corresponds to the year 2015). We can find the D-intercept by substituting \( t = 0 \) into the demand function:
\[ D = 23.5(0) + 171.3 \]
\[ D = 171.3 \]
### Summary of Answers
- **Slope**: 23.5
- **D-intercept**: 171.3
Let me know if you need any further assistance!
\[ D = 23.5t + 171.3 \]
where \( D \) is the demand in metric tons, and \( t \) is the number of years after 2015.
### Part (a): Finding the slope of the graph
The slope of a linear function in the form \( y = mx + b \) is represented by \( m \). In this case, the coefficient of \( t \) (which represents the number of years after 2015) is:
\[ \text{slope} = 23.5 \]
### Part (b): Finding the D-intercept
The D-intercept occurs when \( t = 0 \) (which corresponds to the year 2015). We can find the D-intercept by substituting \( t = 0 \) into the demand function:
\[ D = 23.5(0) + 171.3 \]
\[ D = 171.3 \]
### Summary of Answers
- **Slope**: 23.5
- **D-intercept**: 171.3
Let me know if you need any further assistance!