Question

Nikki had a $50 gift card for her favorite store. She used the gift card to buy 4 DVDs and still had money available on the card after the purchase. If the DVDs were all the same price, which inequality best represents the possible price of each DVD? A.P<12.50 B.P≥12.50 C.P<12.50 D.P≤12.50

Answer 1

The inequality that represents the possible price of each DVD based on Nikki's purchase is
`\(P \leq 12.50\).`

How to solve for the inequality

If Nikki bought 4 DVDs using a $50 gift card and still had money available on the card after the purchase, we can set up an inequality to represent the possible price P of each DVD.

Let P represent the price of each DVD.

The total cost of 4 DVDs would be
`\(4 * P\)`, and as she used a $50 gift card, the total cost should be less than or equal to $50:

`\[ 4 * P \leq 50 \]`

Now, to find the price of each DVD individually, we rearrange the inequality to solve for P:

`\[ P \leq (50)/(4) \]\[ P \leq 12.50 \]`

The inequality that represents the possible price of each DVD based on Nikki's purchase is
`\(P \leq 12.50\).`

Therefore, the correct answer is D)
`\(P \leq 12.50\).`