Question

Analyze the given data and choose the wrong statement from the following options:

Time (in days) (x)	Production (in thousands) (y)
2nd day	12
4th day	8
5th day	14
6th day	8.5

• A. Production reduces by 33.33% on 4th day.
• B. Production increases by 75% on 5th day.
• C. Production reduces by 100% on the 6th day.
• D. Production reduces by 39% on the 6th day.

Answer 1

The correct option is C Production reduces by 100% on the 6th day.

On second day, production = 12

On fourth day, production = 8

$\text{\% increase in y}=\frac{\text{Change in y}}{\text{Initial value of y}}\times 100$

$[\because \text{production is in thousands}]$

$=\frac{8000-12000}{12000}\times 100$

$=\frac{-4000}{12000}\times 100=-\frac{100}{3}\%$

$\text{So, y is decreased by 33.33\%}$

On fourth day, production = 8

On fifth day, production = 14

$\text{\% increase in y}=\frac{\text{Change in y}}{\text{Initial value of y}}\times 100$

$[\because \text{production is in thousands}]$

$=\frac{14000-8000}{8000}\times 100$

$=\frac{6000}{8000}\times 100=75\%$

$\text{So, y is increased by 75\%}$

On fifth day, production = 14

On sisth day, production = 8.5

$\text{\% increase in y}=\frac{\text{Change in y}}{\text{Initial value of y}}\times 100$

$[\because \text{production is in thousands}]$

$=\frac{14000-8500}{14000}\times 100$

$=\frac{-5500}{14000}\times 100\approx -39.28\%$

$\text{So, y is decreased by 39\%}$

∴ Only the third option is incorrect.