The graph below represents the speeds of Kael and Lynn as they run around a track. A graph titled The Running Track. The horizontal axis shows time (minutes) and the vertical axis shows speed (m p h). Two lines begin at 0 speed in 0 minutes. The line labeled Lynn goes to 3 m p h in 8 minutes, to 12 m p h from 13 to 28 minutes, to 0 m p h in 40 minutes. The line labeled Kael goes to 10 m p h from 12 to 20 minutes, to 2 m p h in 32 minutes, to 0 m p h in 40 minutes. For how many minutes did Lynn run at a greater speed than Kael? 12 17 23 28

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:

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step-by-step explanation:

step-by-step explanation:

step 1: solve one of the equations for one of the variables. let's solve the first equation for y:

step 2: substitute that equation into the other equation, and solve for x.

step 3: substitute x = 4 x = 4 x=4 into one of the original equations, and solve for y.

7.25

step-by-step explanation:

we know that 7 equals to 7.0. we also know that 1/4=0.25. so we can add the two together and we get 7.25