Answer :
The correct answers are A. 4 times, B. 3.83 times, and C. indicating a direct relationship between battery voltage and the number of paper clips picked up.
A battery is a device that stores and provides electrical energy.
A. To determine how many times stronger the 6.0 V battery is compared to the 1.5 V battery, we can calculate the ratio of their voltages:
6.0 V / 1.5 V = 4
B. To find the approximate ratio of the number of paper clips picked up using the 6.0 V battery to the number picked up using the 1.5 V battery, we divide the average number of paper clips picked up with the 6.0 V battery by the average number picked up with the 1.5 V battery:
23 / 6 ≈ 3.83
C. Based on the data provided, it appears to be a direct relationship between the battery voltage and the number of paper clips picked up. As the battery voltage increases, the number of paper clips picked up by the electromagnet also increases.
Therefore, A. The 6.0 V battery is approximately four times stronger than the 1.5 V battery, B. The ratio of the number of paper clips picked up using the 6.0 V battery to the number picked up using the 1.5 V battery is approximately 3.83:1, and C. It is a direct relationship between battery voltage and the number of paper clips picked up.
The question is incomplete, I think the question is,
Look at the data table and graph for the 25-coil electromagnet. With the 1.5 V battery, the electromagnet picked up an average of 6 paper clips, and with the 6.0 V battery, it picked up an average of 23 paper clips.
a. About how many times stronger than the 1.5 V battery is the 6.0 V battery?
b. What is the approximate ratio of the number of paper clips picked up using the 6.0 V
battery to the number picked up using the 1.5 V battery?
c. Is this a direct relationship or an indirect relationship?
25-turn Electromagnet
Battery Voltage Number of Paper Clips Picked Up
First Try Second Try Average
1.5 V 5 7 6
3.0 V 12 12 12
4.5 V 14 17 15.5
6.0 V 20 26 23
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The 6.0 V battery is approximately 3.83 times stronger than the 1.5 V battery. The ratio of paper clips picked up using the 6.0 V battery to the 1.5 V battery is approximately 3.83:1. The relationship between battery voltage and the strength of the electromagnet is direct.
Explanation:
a. To determine how many times stronger the 6.0 V battery is compared to the 1.5 V battery, we can divide the number of paper clips picked up using the 6.0 V battery by the number picked up using the 1.5 V battery. In this case, it would be 23/6, which equals approximately 3.83. This means that the 6.0 V battery is approximately 3.83 times stronger than the 1.5 V battery.
b. The approximate ratio of the number of paper clips picked up using the 6.0 V battery to the number picked up using the 1.5 V battery can be calculated by dividing the number of paper clips picked up using the 6.0 V battery by the number picked up using the 1.5 V battery, which is 23/6. The ratio is approximately 3.83:1.
c. Based on the data, we can observe that as the voltage of the battery increases from 1.5 V to 6.0 V, the number of paper clips picked up by the electromagnet also increases. This indicates a direct relationship between the voltage of the battery and the strength of the electromagnet.
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