Scientist a dissolved 1.0 kilogram of salt in 3.0 liters of water. scientist b dissolved 20 pounds of salt in 7.0 pints of water. which scentist made a concentrated salt solution? explain.

scientist A dissolved 1 kg of salt in 3 litres.

scientist B dissolved 20 pounds of slat in 7 pint of water.

we know that 1 pound =0.543 g

20 pounds=9.07 kg.

1 pint=0.5 litres

so 7 pints =3.5 litres

so dissoving 1 kg of salt in 3 litres of water and 9.07 kg in 3.5 litres of water

we know that for concentration kg/l units is used .

for A= 1/3=0.33kg/l

and B=9.07/3.5=2.59 kg/l.

so scientist A has prepared more concentrated solution .

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: