A health food store makes trail mix using dried fruit and nuts. The cost of the dried fruit is $2.50 per
pound, and the cost of the nuts is $2.00 per pound. The total cost to make the trail mix is $225. If the
total cost can be represented by the equation 2.5x + 2y = 225, what does the term 2.5x represent?

the total cost of the nuts

the total cost of the dried fruit

the number of pounds of nuts

the number of pounds of dried fruit

3. parallelogram

step-by-step explanation:

we turn each of our sides into direction vectors

ab=b-a=(3 - 7, 1 - 0) = (-4, 1)

bc=c-b=(1,6)

cd=d-c=(4,-1)

da=a-d=(-1,-6)

we see how the opposite sides have negated direction vectors; this is characteristic of a parallelogram.   we have congruent sides ab=cd and bc=da with unequal lengths because 1^2+6^2 is different from (-4)^2+1^2.   so it's not a square or a rhombus.  

we check the dot product of direction vectors of adjacent sides.   we have

ab dot bc = -4(1) + 1(6) = 2

that's not zero so the sides are not perpendicular.   we've ruled out rectangle.

the direction vectors indicate two pairs of congruent parallel sides, so we choose parallelogram over trapezoid.

cheater

step-by-step explanation: