Question

$\text{Given equation:}300y=500x+1900$ $\text{where 'x' = time (hours)}\text{and 'y' = Intensity (in cd)}$

For plotting the graph of the equation, fill the table with the correct value of $p$ and $q$ obtained from the graph.

• A. $p=8andq=5$
• B. $p=8andq=13$
• C. $p=-8andq=-5$
• D. $p=3andq=8$

Answer 1

The correct option is B $p=8andq=13$

Given equation:
$300y=500x+1900$

Put the given value of x from the table in the respective equation and find the corresponding unknown values.

$\text{If you put}x=1,\text{then the value of y from}$
$\text{the equation is:}$

$\Rightarrow 300y=500\times 1+1900$
$\Rightarrow 300y=500+1900=2400$
$\Rightarrow y=\frac{2400}{300}=8$

So, value of p will be 8.

∴ (1,8) will be a point on the straight line in the graph.

$\text{Similarly if you put}x=4,\text{then the value of y}$
$\text{from the equation is:}$

$\Rightarrow 300y=500\times 4+1900=2000+1900$
$\Rightarrow y=\frac{3900}{300}=13$

So, value of q will be 13.

∴ (4,13) will be a point on the straight line in the graph.

The plotting of the graph is shown as:



∴ The table can be filled as:
$\begin{array}{ccc}x& 1& 4\\ y& 8& 13\end{array}$