The altitude at which we boil an egg affects how long it takes for the egg to achieve perfect hardness. It takes 198 seconds to boil a perfect egg at the lowest place possible, the edge of the Dead Sea, which has an altitude of −418 meters. The highest place possible is the summit of Mount Everest which has an altitude of 8848 meters. It takes 209 seconds to boil a perfect egg there. T(a) models the time (in seconds) it takes to boil a perfect egg at an altitude of a meters. Which number type is more appropriate for the domain of T? What's the appropriate domain?

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:

the answer to the expression is 83

you can first factor out the n to get n(1+5). we know that 1+5 is 6, so we just have 6n.