Akid's pool had a small opening though which water leaked out sometimes. water was poured into the pool from time to time. the graph below shows the amount of water in the pool (y), in gallons, at a certain time (x), in hours:
graph of first line going through ordered pairs 0, 40 and 2, 10. graph of second line going through ordered pairs 2, 10 and 4, 10. graph of third line going through ordered pairs 4, 10 and 7, 50.
which of the following statements best describes the amount of water in the pool?
it is increasing during the time interval 4 < x < 7 hours.
it is increasing during the time interval 10 < x < 50 hours.
it is decreasing during the time interval 4 < x < 7 hours.
it is decreasing during the time interval 10 < x < 50 hours.

the correct answer would be A. It is increasing during the time interval 4 < x < 7 hours.

this is because when you look at the graph, the line starts to increase at 4 on the x line and stops at 7. It  (if the line goes up this mean it is increasing, if the line was going down it would be decreasing)

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.

b

step-by-step explanation: