A. The expression in terms of D to show how much Winona and Takota would pay in total if they buy their mother the set of power tools would be: D - (0.15 * D) = 0.85 * D.
B. The expression 0.90 (D - 5) refers to the total paid for the jewelry present. We know this because the expression is multiplied by 0.90, which represents a 10% discount. The expression can also be written as: 0.90D - 4.5.
C. Let's choose D = $50.
- For the power tools, the total paid would be 0.85 * 50 = $42.50.
- For the water skis, the total paid would be (50 + 15) - (0.25 * (50 + 15)) = $49.25.
- For the jewelry, the total paid would be (0.90 * 50) - 5 = $40.
Based on the calculations, Winona and Takota should buy the jewelry as it has the lowest total cost ($40) among the presents.
COMPLETE THE FOLLOWING QUESTIONS.
WINONA AND TAKODA ARE SHOPPING FOR A PRESENT FOR THEIR MOTHER. THE CHART SHOWS SEVERAL POSSIBLE PRESENTS. THERE IS NO SALES TAX IN THE STATE WHERE THEY LIVE.
PRESENT/ COST ($)/ 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 TAKOTA 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 THAT $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 TAKOTA WHICH PRESENT THEY SHOULD BUY AND EXPLAINING WHY.
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