A taut telephone wire extends from the top of a 7-meter tall telephone pole to a stake in the ground 2 meters away. A bug crawled from the stake in the ground up the wire to the top of
the telephone pole. Then the bug crawled down to the bottom of the pole and back to the
stake. How far did the bug crawl? If necessary, round to the nearest tenth.

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:

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)

y + 11 = (1/4)(x + 16)

step-by-step explanation:

60%