Algebra
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Q.

In a factory, each day the expected number of accidents is related to the number of overtime hour by 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?

 A.

2

 B.

3

 C.

4

 D.

5

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Solution:
Option(B) is correct

Number of accidents $x=a+by$

Where $y$ is the number of overtime hour.

$8=a+1000b$ -------- (i)

$5=a+400b$ -------- (ii)

 On solving both the equations, we get:

\(a=3, b=\dfrac{1}{200}\)

For, $y=0,$ $a=x=3$


(1) Comment(s)


ABHIJEET
 ()

this is another quick way to solve-

for 1000 hrs-8 accidents

for 400 hrs-5 accidents

given that the relation is linear

for a drop of 600(1000-400) hrs accidents reduced by 3(8-5)

so it can be said that for each 200hrs drop accident reduced by 1.

for 200 hrs it will be 4

for 0 hrs it will be 3.