Antwone earns money at a steady rate mowing lawns. The points (1,25) and (5, 125) appear on
a graph of the amount earned versus number of
lawns mowed. What are the coordinates of the
point on the graph with an x-value of 3?

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:

answer: for each 3 girls there is 2 boys . 3: 2

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