Question

A store sells flower arrangements at a cost of $28 each. Which statements are true regarding the price of the arrangements? Check all that apply.
If the price is marked down by 10 percent, the new price will be $25.20.

If the price is marked down by 25 percent, the new price will be $21.00.

If the price is marked down by 50 percent, the new price will be $19.00.

If the price is marked down by 35 percent, the new price will be $18.20.

If the price is marked down by 40 percent, the new price will be $29.80.

Answer 1

Let's check each case to determine the solution to the problem.

we know that

The cost of each flower  arrangements is $\ 28$

Statements

case A) If the price is marked down by $10$ percent, the new price will be $\ 25.20$

we know that

If the price is marked down by $10$ percent

then

the new price will be

$10\%= \frac{10}{100} =0.10$  

$(1-0.10)*\ 28=0.90*\ 28 \\= \ 25.20$

$\ 25.20=\ 25.20$

therefore

The statement case A) is True

case B) If the price is marked down by $25$ percent, the new price will be $\ 21$

we know that

If the price is marked down by $25$ percent

then

the new price will be

$25\%= \frac{25}{100} =0.25$  

$(1-0.25)*\ 28=0.75*\ 28 \\= \ 21$

$\ 21=\ 21$

therefore

The statement case B) is True

case C) If the price is marked down by $50$ percent, the new price will be $\ 19$

we know that

If the price is marked down by $50$ percent

then

the new price will be

$50\%= \frac{50}{100} =0.50$  

$(1-0.50)*\ 28=0.50*\ 28 \\= \ 14$

$\ 14 \neq \ 19$

therefore

The statement case C) is False

case D) If the price is marked down by $35$ percent, the new price will be $\ 18.20$

we know that

If the price is marked down by $35$ percent

then

the new price will be

$35\%= \frac{35}{100} =0.35$  

$(1-0.35)*\ 28=0.65*\ 28 \\= \ 18.20$

$\ 18.20=\ 18.20$

therefore

The statement case D) is True

case E) If the price is marked down by $40$ percent, the new price will be $\ 29.80$

we know that

If the price is marked down by $40$ percent

then

the new price will be

$40\%= \frac{40}{100} =0.40$  

$(1-0.40)*\ 28=0.60*\ 28 \\= \ 16.80$

$\ 16.80 \neq \ 29.80$

therefore

The statement case E) is False

Answer 2

Answer:

A, B, D, IS TRUE

Step-by-step explanation: