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

A, B, D, IS TRUE

Explanation:

Answer 2

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\%= (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\%= (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\%= (50)/(100) =0.50`

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

`\$14 \\eq \$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\%= (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\%= (40)/(100) =0.40`

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

`\$16.80 \\eq \$29.80`

therefore

The statement case E) is False