Math, asked by pranathireddyaddula, 6 hours ago

Harshit and Harshita, two students in Class IX of a school, contributed ₹ 140 to the Prime Minister's Relief Fund in order to assist the covid victims. Create a linear equation that fits this data. Take the contributions of Harshit and Harshita as ₹ x and ₹ y, respectively and also draw the graph of the same
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Answers

Answered by mathdude500
8

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

Given that,

~ Harshit and Harshita, two students in Class IX of a school, contributed ₹ 140 to the Prime

The contributions of Harshit and Harshita as ₹ x and ₹ y.

~ According to statement,

~ Total contribution = ₹ 140

\red{\rm :\longmapsto\:x + y = 140}

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

\rm :\longmapsto\:0 + y = 140

\rm :\longmapsto\: y = 140

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

\rm :\longmapsto\:x + 0 = 140

\rm :\longmapsto\:x= 140

Substituting 'x = 70' in the given equation, we get

\rm :\longmapsto\:70 + y = 140

\rm :\longmapsto\:y = 140 - 70

\rm :\longmapsto\:y = 70

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 0 & \sf 140 \\ \\ \sf 70 & \sf 70 \\ \\ \sf 140 & \sf 0 \end{array}} \\ \end{gathered}

➢ Now draw a graph using the points

See the attachment graph.

Attachments:
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