Two cyclists began a training run, one starting from moscow and the other starting from simferopol. when the riders were 180 miles apart, a fly took an interest. starting on one cyclists shoulder, the fly flew ahead to meet the other cyclist. after reaching him the fly then turned around and yet back. the restless fly continued to shuttle back and fourth until the pair met; then settled on the nose of one rider. the fly's speed was 30 mph. each cyclist speed was 15 mph. how many miles did the fly travel? first to answer correctly will get brainliest. should both be correct, then the first person who answered. good luck!

First let us calculate the total time the fly was in air. We know that the distance is 180 miles and the speed of the fly is 30 mph, therefore the time it took is:

time = 180 miles / 30 mph

time = 6 hours

Therefore the total distance that the fly travelled is (given 15 mph * 2 cyclists):

distance = 6 hours * 30 mph

distance = 180 miles

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: