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Introduction to Graphs — MATHS STD 8 — Question

Gujarat BoardEnglish MediumSTD 8MATHSIntroduction to Graphs3 Marks
Question
Consider this input/output table.
input
$1$
$2$
$4$
$5$
$7$
output
$2$
$5$
$11$
$14$
$20$
$a.$ Graph the values from the table by taking Input along horizontal axis from $0$ to $8$ and Output along vertical axis from $0$ to $24.$
$b.$ Use your graph to predict the outputs for inputs of $3$ and $8.$
✓

Answer

$a.$ On the basis of given input/output table, we can draw the following table.
The graph shows $y = 3x - 1$ pattern.
$b.\ \therefore\ $pattern is $y = 3x - 1$
If $x = 3$, then $y= 3 \times 3 - 1 = 9 - 1 = 8$
If $x = 8$, then $y = 3 \times 8 - 1 =24 - 1 = 23$

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