Tis 170 miles from bruce’s house to the city where his brother lives. on his last trip to visit his brother, he drove for 2 hours at 55 miles per hour. then he came to some very bad road construction. the rest of the trip took 2 hours. how many miles per hour did bruce drive for the rest of the trip?

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:

take it another