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 30.8 t plus 181.4 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).
Is this a linear function? Why or why not? Choose the correct answer below.
A.
This a linear function because each of the variables t and D appear to the first power and the function is written in the form Dequalsatplusb.
B.
This a linear function because D is alone on the left side of the equation.
C.
This a linear function because t and D appear to the second power.
D.
This a linear function because t and D are not in separate terms.
Is this a linear function? Why or why not? Choose the correct answer below.
A.
This a linear function because each of the variables t and D appear to the first power and the function is written in the form Dequalsatplusb.
B.
This a linear function because D is alone on the left side of the equation.
C.
This a linear function because t and D appear to the second power.
D.
This a linear function because t and D are not in separate terms.
Answers
GPT-4o mini
The correct answer is:
**A. This is a linear function because each of the variables t and D appear to the first power and the function is written in the form \( D = at + b \).**
In this function, demand \( D \) is a linear function of time \( t \) because it can be expressed in the form of \( D = mt + b \), where both \( t \) and \( D \) are raised to the first power.
**A. This is a linear function because each of the variables t and D appear to the first power and the function is written in the form \( D = at + b \).**
In this function, demand \( D \) is a linear function of time \( t \) because it can be expressed in the form of \( D = mt + b \), where both \( t \) and \( D \) are raised to the first power.