Abicycle rider travels 50.0 km in 2 and a half hours. what is the cyclists average speed

Answer is 20.0 km per hour.

Explanation;

S = d/t

Where, S is the speed, d is the distance and t is the time taken.

Here,

    d = 50.0 km

     t = 2.5 hours

By applying the formula,

  S = 50.0 km / 2.5 hours

      = 20.0 km per hour

Hence, the average speed of the cyclist is 20.0 km per hour.

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: