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The line graphed on the coordinate grid below shows the relationship between the number of electronic devices produced by a factory and the total value of the devices. The graph shows a line passing through (0, 0) and (5, 40). Based on the graph, what is the value of each electronic device? Responses $80.00 $80.00 $125.00 $125.00 $8.00 $8.00 $12.50

User Abresas
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2 Answers

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Final answer:

The value of each electronic device is $8.00.

Step-by-step explanation:

The value of each electronic device can be determined by finding the slope of the line passing through the points (0, 0) and (5, 40). The slope of a line can be found using the formula: slope = (change in y)/(change in x). In this case, the change in y is 40 - 0 = 40 and the change in x is 5 - 0 = 5. So, the slope is 40/5 = 8. Therefore, the value of each electronic device is $8.00.

User JEscala
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7 votes

Answer:

So, based on the graph, the value of each electronic device is $8.00.

Step-by-step explanation:

To determine the value of each electronic device from the given graph, we can calculate the slope of the line. The slope represents the change in the total value of devices per unit change in the number of devices produced.

The coordinates (0, 0) and (5, 40) give us two points on the line, so we can calculate the slope as follows:

Slope (m) = (Change in Total Value) / (Change in Number of Devices)

Slope (m) = (40 - 0) / (5 - 0)

Slope (m) = 40 / 5

Slope (m) = 8

Now that we know the slope (m) is 8, we can use this information to find the value of each electronic device. The value of each device can be calculated by dividing the total value (y-coordinate) by the number of devices produced (x-coordinate) for any point on the line. Let's use the point (5, 40):

Value of Each Device = Total Value / Number of Devices

Value of Each Device = 40 / 5

Value of Each Device = 8

So, based on the graph, the value of each electronic device is $8.00.

User Himanshu Dua
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