Multiple Choice Question

Question

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?

Answer 1

To find the value of each electronic device based on the information given in the graph, we can determine the slope of the line that passes through the points (0, 0) and (5, 40).

The slope \( m \) of the line can be calculated using the formula:

\[ m = \frac{\text{change in value}}{\text{change in quantity}} \]

From the points given:

• At point (0, 0): quantity = 0, value = 0
• At point (5, 40): quantity = 5, value = 40

Now, substituting the values into the formula:

\[ m = \frac{40 - 0}{5 - 0} = \frac{40}{5} = 8 \]

This means that for each electronic device produced, the value increase is 8 units of currency.

Therefore, the value of each electronic device is 8.