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: 0.85d
- Takoda: 0.85d
b. The expression 0.90(d - 5) refers to the total paid after a 10% discount is applied to the original cost of the present (d), and then an additional $5 reduction is made. We know this because the expression states a 10% discount (0.90) and subtracts $5 from the original cost. It could also be written as 0.90d - 4.50.
c. Let's choose d = $50 as a value between $25 and $100.
- The total cost for power tools would be: 0.85 * 50 = $42.50
- The total cost for water skis would be: (50 + 15) * 0.75 = $48.75
- The total cost for jewelry would be: (50 - 5) * 0.95 = $47.50
Based on the calculations, Winona and Takoda should buy their mother the set of power tools because it has the lowest total cost ($42.50) compared to the other presents. They will be able to save more money while still getting a valuable and useful gift for their mother.
Complete the following questions.
Winona and Takoda are shopping for a present for their mother. The chart shows
several possible presents. There is no sales tax in the state where they live.
Present Cost ($) Discount (%) Total Paid
Power tools d 15%
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 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.
1 answer
1 answer