A bottle of water costs $1.50. Explain how you would make a graph of four ordered pairs to model the total cost of the water in terms of the number of bottles.
To graph the total cost of water in terms of the number of bottles, we need to identify the independent variable (number of bottles) and the dependent variable (total cost).
Let's start by creating four ordered pairs, where each ordered pair represents a specific quantity of bottles and its corresponding total cost:
Ordered Pair 1: (0, 0)
Ordered Pair 2: (1, 1.50)
Ordered Pair 3: (2, 3.00)
Ordered Pair 4: (3, 4.50)
Now, let's explain what each ordered pair represents:
Ordered Pair 1: (0, 0)
This means that when we have 0 bottles, the total cost is $0. This makes sense because if we don't have any bottles, we don't have any cost.
Ordered Pair 2: (1, 1.50)
This means that when we have 1 bottle, the total cost is $1.50. As given, each bottle costs $1.50, so if we have one bottle, the total cost will be $1.50.
Ordered Pair 3: (2, 3.00)
This means that when we have 2 bottles, the total cost is $3.00. Since each bottle costs $1.50, having two bottles will cost us $3.00.
Ordered Pair 4: (3, 4.50)
This means that when we have 3 bottles, the total cost is $4.50. Following the pattern, each additional bottle adds $1.50 to the total cost. So, having three bottles will cost us $4.50.
Now, to graph these ordered pairs, we plot each point on a graph where the x-axis represents the number of bottles and the y-axis represents the total cost. Label the axes accordingly and plot the points (0, 0), (1, 1.50), (2, 3.00), and (3, 4.50) on the graph. Then, connect the points with a straight line to represent the relationship between the number of bottles and the total cost of water.
you already have one pair: (1,1.50)
Now just pick any positive integer, and multiply it by 1.50. That will give you other pairs:
(2,3.00)
(102,153.00)
(9231,13846.50)
For convenience of graphing, I'd stick with small numbers, though! :-)