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Question

Plot a line graph for the variables $$p$$ and $$q$$ where $$p$$ is two times $$q$$ i.e, the equation is $$p=2q$$. Then find the value of $$q$$ when $$p=8$$.

Solution
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Given equation is $$p=2q$$

Thus,
for $$q=1\ ,\ \ p=2$$
for $$q=2\ ,\ \ p=4$$
for $$q=3\ ,\ \ p=6$$
for $$q=4\ ,\ \ p=8$$

Now we tabulate the data and the graph is plotted as shown.

Hence, when $$p=8$$ then the value of $$q=4$$

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Similar Questions
Q1
Plot a line graph for the variables $$p$$ and $$q$$ where $$p$$ is two times $$q$$ i.e, the equation is $$p=2q$$. Then find the value of $$q$$ when $$p=8$$.
View Solution
Q2
Question 56(ii)
Plot a line graph for the variables p and q, where p is two times q i.e. the equation is p=2q. Then, find the value of q when p=8.
View Solution
Q3
Question 56(ii)
Plot a line graph for the variables p and q, where p is two times q i.e. the equation is p=2q. Then, find the value of q when p=8.
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Q4
Plot a line graph for the variables p and q, where p is four times q, i.e., the equation is p = 4q.
Using the graph, find the value of (i) p, when q = 6 and (ii) q, when p = 20.
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Q5
Reason
The straight line graph means that $$P\propto Q$$ or $$P=$$ constant $$\times Q$$.
Assertion
The graph between $$P$$ and $$Q$$ is a straight line, when $$\cfrac{P}{Q}=$$ constant.
The graph between $$P$$ and $$Q$$ is a straight line, when $$\cfrac{P}{Q}=$$ constant.
View Solution