Question

34. Draw the graph for the given situation taking x is the cost of one pizza and y is the cost The cost of a pizza is Rs. 20 more cost of two burgers" in full explanation​

Answer 1

Appropriate Question

Draw the graph for the given situation taking x is the cost of one pizza and y is the cost of 1 burger. "The cost of a pizza is Rs. 20 more cost of two burgers".

$\large\underline{\sf{Solution-}}$

Given that,

• Cost of one pizza is Rs x

• Cost of one burger is Rs y

According to statement,

The cost of a pizza is Rs. 20 more cost of two burgers.

So, It can be represented Mathematically as

$\rm :\longmapsto\:x = 20 + 2y$

OR

$\rm :\longmapsto\:x - 2y= 20$

Substituting 'y = 0' in the given equation, we get

$\rm :\longmapsto\:x = 20 + 2 \times 0$

$\rm :\longmapsto\:x = 20 + 0$

$\bf\implies \:x = 20$

Substituting 'y = 5' in the given equation, we get

$\rm :\longmapsto\:x = 20 + 2 \times 5$

$\rm :\longmapsto\:x = 20 + 10$

$\bf\implies \:x = 30$

Substituting 'y = 10' in the given equation, we get

$\rm :\longmapsto\:x = 20 + 2 \times 10$

$\rm :\longmapsto\:x = 20 + 20$

$\bf\implies \:x = 40$

Hᴇɴᴄᴇ,

➢ Pair of points of the given equation are shown in the below table.

$\begin{gathered}\boxed{\begin{array}{c|c} \bf x & \bf y \\ \frac{\qquad \qquad}{} & \frac{\qquad \qquad}{} \\ \sf 20 & \sf 0 \\ \\ \sf 30 & \sf 5 \\ \\ \sf 40 & \sf 10 \end{array}} \\ \end{gathered}$

➢ Now draw a graph using the points

➢ See the attachment graph.