A battery with of its full capacity is connected to a charger. Every minute that passes, an additional of its capacity is charged.Graph the relationship between the battery's capacity (in charged) and time (in minutes).
Question
A battery with of its full capacity is connected to a charger. Every minute that passes, an additional of its capacity is charged.Graph the relationship between the battery's capacity (in charged) and time (in minutes).
Solution 1
To graph the relationship between the battery's capacity and time, follow these steps:
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First, identify the variables: The independent variable is time (in minutes), and the dependent variable is the battery's capacity (in % charged).
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Next, set up your graph: Draw a horizontal line to represent the x-axis (time in minutes) and a vertical line to represent the y-axis (battery's capacity in % charged).
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Label your axes: Label the x-axis as "Time (minutes)" and the y-axis as "Battery's Capacity (% charged)".
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Plot your initial point: Since the battery starts with 1/4 of its full capacity, the initial point on the graph will be (0, 25) because at time 0, the battery is 25% charged.
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Determine the rate of charge: The battery charges at a rate of 1/4 of its capacity per minute. This means that for each minute that passes, the battery's charge increases by 25%.
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Plot additional points: For each minute that passes, add 25% to the battery's charge. For example, at 1 minute, the battery is 50% charged, at 2 minutes, it's 75% charged, and at 3 minutes, it's 100% charged.
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Draw the line: Connect the points with a straight line. This line represents the relationship between time and the battery's capacity.
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Interpret the graph: The graph shows a linear relationship between time and battery's capacity. The battery's charge increases at a constant rate of 25% per minute.
Solution 2
To graph the relationship between the battery's capacity and time, follow these steps:
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First, identify the variables. In this case, the battery's capacity is the dependent variable (y-axis) and time is the independent variable (x-axis).
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Since the battery starts with 1/4 of its full capacity, plot a point at (0,1/4) on the graph. This represents the battery's initial state before charging.
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Every minute, the battery's capacity increases by 1/4. This means that for every increase of 1 on the x-axis (time in minutes), there is an increase of 1/4 on the y-axis (battery's capacity).
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Plot these points on the graph. For example, after 1 minute (x=1), the battery's capacity would be 1/4 + 1/4 = 1/
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