According to the equation a=bc what type of relationship (direct or inverse) exerts between the quantities A and C? Draw a qualitive graph to describe the relation between A and C. Assumeing B is constante.
direct
straight line through origin with slope b
AP Physics?
According to the equation a = bc, assuming b is constant, we can determine the relationship between quantities a and c.
Since a = bc, we can rearrange the equation to express c in terms of a and b as c = a/b.
This equation shows an inverse relationship between a and c. As the value of a increases, the value of c decreases, and vice versa. When two quantities have an inverse relationship, an increase in one results in a decrease in the other, and vice versa.
To draw a qualitative graph of the relationship between a and c, you can plot the values of a on the x-axis and the corresponding values of c on the y-axis. The graph will have a negative slope, indicating the inverse relationship between a and c.
Here's a rough sketch of what the graph might look like:
| A
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| /
| /
------------------ C
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In this graph, as A increases, C decreases, and as A decreases, C increases. The slope of the line represents the ratio between A and C (b).
To determine the type of relationship between the quantities A and C in the equation a = bc, we can rearrange the equation to isolate C:
c = a/b
Now, let's analyze the equation:
If the value of A increases while keeping B constant, the value of C will also increase. Similarly, if the value of A decreases, C will also decrease.
This relationship indicates that as A increases, C increases and vice versa. Therefore, we can conclude that the relationship between A and C in the equation a = bc is a direct relationship.
To draw a qualitative graph representing this relation, we can plot the values of A on the x-axis and the corresponding values of C on the y-axis. The graph should show a linear relationship, where as A increases, C also increases.
However, please note that without specific values for A, B, and C, we can only describe the relationship qualitatively. To obtain more accurate results and draw a quantitative graph, you will need to substitute specific values into the equation and plot the corresponding points.