Question

match each amount in the situation with the expression that represents it.
situation | expression
amount the watch normally costs | w
amount of the discount | 0.3
percent decrease of the discount, as a decimal | 0.3w
percent of the normal cost that chad paid, as a decimal | 0.7
1 / 5 amount the watch normally costs
the watch that normally costs w dollars.
10 of 13

Explanation:

Step1: Analyze "Amount the watch normally costs"

The problem states the watch normally costs \( w \) dollars, so this matches the expression \( w \).

Step2: Analyze "Amount of the discount"

If the normal cost is \( w \) and the discount rate is \( 0.3 \) (30% discount), the discount amount is \( 0.3\times w = 0.3w \).

Step3: Analyze "Percent decrease of the discount, as a decimal"

A 30% discount means the percent decrease (discount rate) as a decimal is \( 0.3 \).

Step4: Analyze "Percent of the normal cost that Chad paid, as a decimal"

If there's a 30% discount, Chad pays \( 100\% - 30\% = 70\% \), which as a decimal is \( 0.7 \).

Answer:

• Amount the watch normally costs: \( w \)
• Amount of the discount: \( 0.3w \)
• Percent decrease of the discount, as a decimal: \( 0.3 \)
• Percent of the normal cost that Chad paid, as a decimal: \( 0.7 \)