The French club is holding a car wash fundraiser. They are going to charge $20 per car , and expect between 30 and 100 cars. Ide
2 answers:
Answer: Independent variable → number of cars
Dependent variable → money raised
Domain →30 to 100 cars
Range → $600 to $2000
Step-by-step explanation:
The independent variable here is the number of cars and the money raised by the club is dependent on the number of cars sold.
We know that the domain is the set of values of the independent variable from the least to maximum.
Since, they expect between 30 and 100 cars.
Therefore, the reasonable domain= 30 to 100 cars
The range is the set of values of the dependent variable, it is generally from the least to maximum.
The least amount they earn =
The maximum amount they earn =
Therefore, Range = $600 to $2000
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Two equations will be called independent if their graphs touch only on one point (they have one solution for the x-value and one solution for the y-value), and two equations will be dependent if they touch at every point (there is an infinite number of solutions).
This definition of independent and dependent equations is shown in the following diagram. Consider that there are two lines, one red line and one blue line:
They are independent if they touch only on one point and dependent if they touch at every point (they are the same line).
In our case, we are asked to write an equation in order to create an independent consistent linear system.
Note: Consistent means that the system has a solution.
First, we graph the given equation:
There are many different equations that will form an independent consistent linear system with this equation.
We are going to choose the following line equation:
Because when we graph this equation next to the previous line:
We can see that they touch at one point, thus there is a solution and the system is independent --> we have created an independent consistent linear system.
Answer:
