Winona and Takoda are shopping for a present for their mother.

The chart shows several possible presents. There is no sales tax in the state where they live.

Present Cost ($) Discount (%) Total Paid
Power tools d 15% (+2)
Water skis d + 15 25% (+2)
Jewelry d – 5 10% (+2)

a. Write two expressions in terms of d to show how much Winona and Takoda would pay in total if they buy their mother the set of power tools.

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

To calculate the total cost for the power tools along with the discount, we can follow these steps:

  1. Calculate the discount on power tools: The original cost of the power tools is \(d\). Given a discount of 15%, the amount of discount can be calculated as: \[ \text{Discount Amount} = d \times 0.15 = 0.15d \]

  2. Calculate the price after the discount: The price after applying the discount will be: \[ \text{Price After Discount} = d - 0.15d = d(1 - 0.15) = d \times 0.85 \]

  3. Add the $2 fee: After applying the discount, they have to pay an additional $2. Therefore, the total paid will be: \[ \text{Total Paid} = \text{Price After Discount} + 2 = 0.85d + 2 \]

Thus, the total amount that Winona and Takoda would pay if they buy their mother the set of power tools can be expressed as: \[ \text{Total Paid for power tools} = 0.85d + 2 \]

So, the expressions in terms of \(d\) are:

  1. Price After Discount: \(0.85d\)
  2. Total Paid: \(0.85d + 2\)
User Icon for ... ... answered
1 hour ago
Winona and Takoda are shopping for a present for their mother.
The chart shows several possible presents. There is no sales tax in the state where they live.

Present Cost ($) Discount (%) Total Paid
Power tools d 15% (+2)
Water skis d + 15 25% (+2)
Jewelry d – 5 10% (+2)

What present does the expression 0.90(d – 5) refer to?
User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 hour ago

To determine which present the expression \(0.90(d - 5)\) refers to, let's analyze the formula part by part.

  1. Breakdown of the expression:
    The expression \(0.90(d - 5)\) suggests two things:

    • \(d - 5\) implies a cost associated with an item that is $5 less than some base price \(d\).
    • Multiplying by \(0.90\) indicates that there is a 10% discount (since 100% - 10% = 90%).
  2. Identify the Present:

    • The only present mentioned in the chart that fits the description of having a reduced cost of \(d - 5\) is Jewelry, which has an original cost of \(d - 5\) and comes with a 10% discount.

Thus, the expression \(0.90(d - 5)\) refers to the Jewelry present.