A 76.00 pound flask of mercury costs $162.00. The density of mercury is 13.534 g/cm3. Find the price of one cubic inch of mercury by calculating intermediate values. What is the price of one pound of mercury

Price of one pound of mercury

Price of one cubic inch of mercury

Step-by-step explanation:

From the question we are told that

Mass of mercury

Price of 76 pound

Density of mercury is

Generally the cost of one pound of Mercury x will mathematically be given as

Generally the cost of one gram of Mercury G will mathematically be given as

Generally the cost of one cubic centimetre of Mercury c will mathematically be given as

Generally the cost of one cubic inch of Mercury z will mathematically be given as

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: