Question

Question 2:
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.

Answer 1

To find the total amount Winona and Takoda would pay for the power tools after applying the discount and then adding any additional amount, we can use the following steps:

1. **Calculate the discounted price** for the power tools:
- The original cost of the power tools is \( d \).
- The discount is 15%, so the amount discounted is:
\[
\text{Discounted Amount} = 0.15d
\]
- The price after the discount is:
\[
\text{Discounted Price} = d - 0.15d = 0.85d
\]

2. **Add any additional cost** mentioned in the problem (which is given as \( +2 \)):
- Therefore, the total paid for the power tools is:
\[
\text{Total Paid} = 0.85d + 2
\]

The two expressions in terms of \( d \) that show how much Winona and Takoda would pay in total if they buy their mother the set of power tools are:
1. The discounted price: \( 0.85d \)
2. The total paid including the additional amount: \( 0.85d + 2 \)