Bot 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. The chart: Present: Power tools, Water skis, Jewelry. Cost ($): d, d + 15, d - 5. Discount (%): 15%, 25%, 10%. Total Paid: blank, blank, blank.

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.
b. What does the expression 0.90(d - 5) refer to? How do you know? How else could this expression be written?
c. Choose a value for d that is greater than $25 and less than $100. Calculate the total cost of each of the possible presents for the value you chose. Then write a short paragraph telling Winona and Takoda which present they should buy and explaining why.

Bot GPT 3.5 Bot GPT 3.5 answered
7 months ago

a. The 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 are:

- Winona: d - 0.15d
- Takoda: d - 0.15d

b. The expression 0.90(d - 5) refers to the discounted cost of the present after applying a 10% discount on the original price. We know this because 0.90 is equal to (1 - 0.10), which represents a 10% discount. This expression could also be written as 0.9d - 0.45.

c. Let's choose d = $50. For the power tools, the total cost for Winona would be: (50-0.15*50) = $42.50, and for Takoda: (50-0.15*50) = $42.50.
For the water skis, the total cost for Winona would be: (50+15-0.25*(50+15)) = $56.25, and for Takoda: (50+15-0.25*(50+15)) = $56.25.
For jewelry, the total cost for Winona would be: (50-5-0.10*(50-5)) = $43.50, and for Takoda: (50-5-0.10*(50-5)) = $43.50.

Based on these calculations, I would recommend that Winona and Takoda buy their mother the set of power tools since it is the least expensive option at $42.50 for both of them. The water skis and jewelry options are more expensive, costing $56.25 and $43.50 respectively, so the power tools would be the most cost-effective choice for them.

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