Question

Hailey is shopping at a department store during a 20% off everything sale. She also has a coupon for $5.00 off the sale amount. Hailey wants to keep her total under $65.00 before tax, so she creates this inequality: 0.80x − $5.00 ≤ $65.00. Which inequality represents all possible solutions for x?

Answer 1

Answer:

$x \leq 87.50$

Step-by-step explanation:

Answer 2

SOLUTION

COMPLETE QUESTION

Hailey is shopping at a department store during a 20% off everything sale. She also has a coupon for $5.00 off the sale amount. Hailey wants to keep her total under $65.00 before tax, so she creates this inequality:

0.80x − $5.00 ≤ $65.00.

Which inequality represents all possible solutions for x

x ≤ $ 75.00

x ≤ $ 76.25

x ≤ $ 86.25

x ≤ $ 87.50

EVALUATION

Amount = $ x

After 20% off everything sale the price is

= $ x × 80/100

= $ 0.80x

She also has a coupon for $5.00 off the sale amount.

The amount becomes = $ 0.80x - $ 5.00

Since Hailey wants to keep her total under $65.00 before tax

So by the given condition

$ 0.80x - $ 5.00 ≤ $ 65.00

The inequality is established

Now we solve the inequality

$ 0.80x - $ 5.00 ≤ $ 65.00

⇒ $ 0.80x ≤ $ 65.00 + $ 5.00

⇒ $ 0.80x ≤ $ 70.00

⇒ x ≤ $ 87.50

FINAL ANSWER

Hence the correct option is x ≤ $ 87.50

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