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.
+2
b. What present does the expression 0.90(d – 5) refer to?
+1
c. Use the value d=$50. Calculate the Total Paid (+6pts see above) Column of each of the possible presents for the value of $50. Then star or circle the most economical or cheapest. (+1)
a. Total paid for power tools = d - (0.15d + 2) = d - 0.15d - 2 = 0.85d - 2
b. The expression 0.90(d - 5) refers to the present of jewelry.
c.
For power tools: Total paid = 0.85(50) - 2 = 42.5 - 2 = $40.5
For water skis: Total paid = 0.75(50 + 15) + 2 = 0.75(65) + 2 = 48.75 + 2 = $50.75
For jewelry: Total paid = 0.90(50 - 5) + 2 = 0.90(45) + 2 = 40.5 + 2 = $42.5
The most economical or cheapest present is the power tools, which costs $40.5.