Present cost($) Discount(%) Total Paid
power tools d 15%
water skis d+15 25%
jewelry d-5 10%
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 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.
a. The expression to show how much Winona would pay for the power tools is: d - 0.15d = 0.85d
The expression to show how much Takoda would pay for the power tools is: d - 0.15d = 0.85d
b. The expression 0.90(d-5) refers to the total amount paid after a 10% discount is applied to the cost of jewelry. We know this because the expression subtracts 10% of the cost (d-5) from the original cost (d), and then multiplies it by 0.90, which is equivalent to subtracting 10%.
The expression 0.90(d-5) could also be written as: 0.90d - 4.5.
c. Let's choose d = $50.
The total cost for the power tools would be: 0.85 * 50 = $42.50.
The total cost for the water skis would be: 1.15 * 50 = $57.50.
The total cost for the jewelry would be: 0.90 * (50 - 5) = $40.50.
Based on these calculations, Winona and Takoda should buy the jewelry as it is the most affordable option for the chosen value of d. The total cost of the jewelry is $40.50, while the power tools and water skis cost more.