Question

$\text{In the function y}=3.5x+30,\text{y represents the}$ number of production of an item and x represents the time (in days).
On which day the number of production will be more than 121?

• A. 25th day
• B. 26th day
• C. Can't be determined
• D. 27th day

Answer 1

The correct option is D 27th day

The equation is:
$y=3.5x+30$

We have to find the day at which the number of production is more than 121, i.e., y should be greater than 121.

Putting y = 121 in the equation, we get:

$\Rightarrow 121=3.5x+30$

$\Rightarrow 121-30=3.5x$

$\Rightarrow 91=3.5x$

$\Rightarrow \frac{91}{3.5}=\text{x}$

$\Rightarrow \text{x}=26$

On 26th day, the number of production will be 121.
So on next day the production will be more than 121

$\therefore \text{Number of days required}=26+1=27$

Therefore, on 27th day, the number of production will be more than 121.