In a factory, each day the expected number of accidents is related to the number of overtime hour by a linear equation. Suppose that on one day there were 1000 overtime hours logged and 8 accidents reported and on another day there were 400 overtime hours logged and 5 accidents. What is the expected number of accidents when no overtime hours are logged?

Let the number of overtime hours logged be x.

Let the number of accidents reported be A.

So, since the relationship between A and x is linear, we can write A= ax+c

Given, when x=1000, A=8.

So, 8= 1000a+ c--------------(1)

Again, when x= 400, A=5.

So, 5= 400a+ c ----------------(2)

Subtracting Eqn 2 from 1, we get,

600a= 3

=> a= 1/200. 

Now putting this value of a in Eqn 1, we find

8= $$\ \frac{\ 1000}{200}+c$$

=>c= 8-5=3.

So, when x=0,

A= c= 3- option B