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Question

The equation of the line shown in the graph where "x = Days" and "y = Number of vaccines produced" is


A
250y=650x+1000
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B
300y=500x+900
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C
200y=600x+1000
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Solution

The correct option is C 200y=600x+1000
To find the correct equation, substitute the points plotted on the graph one by one in each of the options.
The points plotted on the graph are (1, 8), (2, 11) and (4.17).

For the equation 200y=600x+1000:
Take the x-values as 1, 2, and 4.

Putting x = 1, we get:
200y=600×1+1000=1600
y=1600200=8

∴ (1, 8) is a point.

Putting x = 2, we get:
200y=600×2+1000=2200
y=2200200=11

∴ (2, 11) is a point.

Putting x = 4, we get:
200y=600×4+1000=3400
y=3400200=17

∴ (4, 17) is a point.

You can observe all the points (1, 8), (2, 11) and (4.17) lies on the straight line representing the equation
200y=600x+1000.

So, the correct equation for the graph will be:
200y=600x+1000

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