Test name: copy of t-math-alg 1-t3and4-pb
test id: 1353186
section 1 - no calculator section
1.1. in order to lure new customers to a credit card, a bank is offering an initial cash back
award, plus cash back amounting to a percentage of the value of all purchases made with the
card. if p is the value of all purchases made with the card and c is the amount of cash back,
which of these equations does the graph represent?
cash back (dollars)
2707
240
210
1801
150
120-
90
60+
30
value of purchases (dollars)
500
1500 2500 3500
1000 2000 3000 4000
a. c = 0.03p + 150
b, c = 0.3p + 150
c. c= 1.03p + 150
d. c= 1.3p + 150

answer: a. 74

step-by-step explanation:

it shows divided evenly, so add the 37+37 = 74

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.