Answer:
The zoo will cost more money for a group of 12 students to visit.
Step-by-step explanation:
First, you have to divide the costs by the amount of tickets to find out how much you would have to pay for one ticket.
Science Center: $36.76 ÷ 3 = $12.25
Zoo: $51 ÷ 4 = $12.75
Then, the cost for one ticket should be multiplied by 12, the group of students wanting to visit.
Science Center: $12.25 x 12 = $147.04
Zoo: $12.75 x 12 = $153
Comparing the prices, you will see that the zoo will cost $5.96 more dollars than the science center.
1.
The first transformation, the translation 4 units down, can be described with the following symbols:
(x, y) → (x, y-4).
as the points are shifted 4 units vertically, down. Thus the x-coordinates of the points do not change.
A'(1, 1) → A"(1, 1-4)=A"(1, -3).
B'(2, 3) → B"(2, 3-4)=B"(2, -1).
C'(5, 0) → C"(5, 0-4)=C"(5, -4).
2.
The second transformation can be described with:
(x, y) → (x, -y).
as a reflection with respect to the x-axis maps:
for example, (5, -7) to (5, 7), or (-3, -4) to (-3, 4)
thus, under this transformation A", B", C" are mapped to A', B' and C' as follows:
A"(1, -3)→A'(1, -(-3))=A'(1, 3)
B"(2, -1)→B'(2, -(-1))=B'(2, 1)
C"(5, -4)→C'(5, -(-4))=C'(5, 4)
Answer:
A'(1, 3), B'(2, 1), C'(5, 4)
Additive Inverse. -5 and 5 are opposites.
