Question

jadon joined the skateboard club and needs to buy some equipment. he plans to buy skateboard wheels and trucks. matrix a shows the price in dollars, including tax, for each set of wheels and each truck. sports unlimited is offering a 25% discount on all skateboard equipment.

a = \\( \

$$\begin{bmatrix} 19 & 32 & 36 \\\\ 44 & 29 & 50 \\end{bmatrix}$$

\\)

jadon calculated the sale price of each item as shown in matrix b.

a = \\( \

$$\begin{bmatrix} 14.25 & 24.00 & 27.00 \\\\ 33.00 & 21.75 & 37.50 \\end{bmatrix}$$

\\)

which operation justifies the sale price of each item jadon plans to buy?

○ 0.25a

○ a - 0.25a

○ 0.25 + a

○ a + 0.25a

Explanation:

Step1: Analyze the discount

A 25% discount means the price is \(1 - 0.25=0.75\) of the original price. And \(0.75A=(1 - 0.25)A=A-0.25A\)

Step2: Check each option

• Option \(0.25A\): This gives 25% of the original price, not the sale price.
• Option \(A - 0.25A\): This is equivalent to \(0.75A\) (since \(A(1 - 0.25)=0.75A\)), which is the sale price after a 25% discount.
• Option \(0.25+A\): This adds 0.25 to the original price, which is not a discount operation.
• Option \(A + 0.25A\): This increases the price by 25%, not a discount.

Answer:

\(A - 0.25A\)