Let's check each case to determine the solution to the problem.
we know that
The cost of each flower arrangements is ![\$28](https://tex.z-dn.net/?f=%5C%2428)
Statements
<u>case A)</u> If the price is marked down by
percent, the new price will be ![\$25.20](https://tex.z-dn.net/?f=%5C%2425.20)
we know that
If the price is marked down by
percent
then
the new price will be
![(1-0.10)*\$28=0.90*\$28 \\= \$25.20](https://tex.z-dn.net/?f=%281-0.10%29%2A%5C%2428%3D0.90%2A%5C%2428%20%5C%5C%3D%20%5C%2425.20)
therefore
The statement case A) is True
<u>case B)</u> If the price is marked down by
percent, the new price will be ![\$21](https://tex.z-dn.net/?f=%5C%2421)
we know that
If the price is marked down by
percent
then
the new price will be
![(1-0.25)*\$28=0.75*\$28 \\= \$21](https://tex.z-dn.net/?f=%281-0.25%29%2A%5C%2428%3D0.75%2A%5C%2428%20%5C%5C%3D%20%5C%2421)
therefore
The statement case B) is True
<u>case C)</u> If the price is marked down by
percent, the new price will be ![\$19](https://tex.z-dn.net/?f=%5C%2419)
we know that
If the price is marked down by
percent
then
the new price will be
![(1-0.50)*\$28=0.50*\$28 \\= \$14](https://tex.z-dn.net/?f=%281-0.50%29%2A%5C%2428%3D0.50%2A%5C%2428%20%5C%5C%3D%20%5C%2414)
![\$14 \neq \$19](https://tex.z-dn.net/?f=%5C%2414%20%5Cneq%20%5C%2419)
therefore
The statement case C) is False
<u>case D)</u> If the price is marked down by
percent, the new price will be ![\$18.20](https://tex.z-dn.net/?f=%5C%2418.20)
we know that
If the price is marked down by
percent
then
the new price will be
![(1-0.35)*\$28=0.65*\$28 \\= \$18.20](https://tex.z-dn.net/?f=%281-0.35%29%2A%5C%2428%3D0.65%2A%5C%2428%20%5C%5C%3D%20%5C%2418.20)
![\$18.20=\$18.20](https://tex.z-dn.net/?f=%5C%2418.20%3D%5C%2418.20)
therefore
The statement case D) is True
<u>case E)</u> If the price is marked down by
percent, the new price will be ![\$29.80](https://tex.z-dn.net/?f=%5C%2429.80)
we know that
If the price is marked down by
percent
then
the new price will be
![(1-0.40)*\$28=0.60*\$28 \\= \$16.80](https://tex.z-dn.net/?f=%281-0.40%29%2A%5C%2428%3D0.60%2A%5C%2428%20%5C%5C%3D%20%5C%2416.80)
![\$16.80 \neq \$29.80](https://tex.z-dn.net/?f=%5C%2416.80%20%5Cneq%20%5C%2429.80)
therefore
The statement case E) is False