Question

1. Draw a graph to represent the rule of multiplication by 5 of all positive numbers
including 0. From the graph, find the product of 5 and 3.5.​

Answer 1

SOLUTION

TO DETERMINE

• To Draw a graph to represent the rule of multiplication by 5 of all positive numbers including 0.

• From the graph, find the product of 5 and 3.5

EVALUATION

Let x be the number to be multiplied by 5 and y be the number obtained

So by the given condition

y = 5 × x

$\sf{ \implies \: y = 5x} \: \: - - - (1)$

Which represents the equation of a line going through the origin

We have to find the product of 5 and 3.5

Here x = 3.5

In the graph A represents the the point (3.5,0)

Now if we draw a perpendicular at the point A(3.5,0) , it intersects the line at B(3.5,17.5)

Accordingly we get y = 17.5

So the required product = 17.5

Also we can verify the result from Equation 1

In Equation 1 putting x = 3.5 we get

y = 5 × 3.5 = 17.5

So the required product = 17.5

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