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?

1 answer

A. The 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 are:

- Cost: D
- Total paid after discount: 0.85D

B. The expression 0.90(D - 5) refers to the total paid after a 5% discount is applied to the cost D, and then a further 10% discount is applied to the discounted price. I know this because the expression starts with 0.90, which represents the remaining 90% of the price after the first discount of 10%. The expression could also be written as 0.90 * (D - 5).