A car sells for \$5000$5000dollar sign, 5000 and loses \dfrac{1}{10}
10
1

start fraction, 1, divided by, 10, end fraction of its value each year.
Write a function that gives the car's value, V(t)V(t)V, left parenthesis, t, right parenthesis, ttt years after it is sold.

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:

stop cheating

step-by-step explanation:

it should be described as a proper fraction.