Question

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

• A. $250y=650x+1000$
• B. $300y=500x+900$
• C. $200y=600x+1000$

Answer 1

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).

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

Putting x = 1, we get:
$200y=600\times 1+1000=1600$
$\Rightarrow y=\frac{1600}{200}=8$

∴ (1, 8) is a point.

Putting x = 2, we get:
$200y=600\times 2+1000=2200$
$\Rightarrow y=\frac{2200}{200}=11$

∴ (2, 11) is a point.

Putting x = 4, we get:
$200y=600\times 4+1000=3400$
$\Rightarrow y=\frac{3400}{200}=17$

∴ (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:
$200y=600x+1000$