Jill has 64 ounces of lemonade. each day, her brother drinks 16 ounces. then at the end of each day jill adds 25% of the remaining total back into the lemonade container. which recursive formula models the amount of lemonade in the container, an?
a, b, c and d goes from left to right

Step-by-step explanation:

Let initially the total quantity of the drink =

Then after 1 day the quantity of the drink =

Since, according to the question,

Each day, her brother drinks 16 ounces. Then at the end of each day Jill adds 25% of the remaining total back into the lemonade container.

That is,

⇒

⇒  

⇒  

⇒

⇒ where

Which is the required recursive formula.

Thus, Option first correct.

step-by-step explanation:

d

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.