Please help 25 points A train set out at a speed of 180 kilometers from its origin station to its terminal
station, which is 450 kilometers away. The distance from the train to its terminal
station, s, is given as a function of t, s = 450 – 180t, the time in hours. Graph the
following equation, then use its x-intercept to determine when the train will arrive.
(Give your answer in Decimals eg : 4.2)
hours

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:

3 is greater then both of those numbers