Which system of linear inequalities is represented by the graph?
2 answers:
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a) Original price of the game is $ 37.99
b) Percent of discount is 39 %
c) Original price is $ 27.99
d) Percent of discount is 54 %
<em><u>Solution:</u></em>
You have a coupon for $15 off a video game
<em><u>a) On Monday, the discounted price of your video game is $22.99</u></em>
<em><u>Therefore,</u></em>
Discount price = $ 22.99
From given,
Discount rate = $ 15
Therefore,
Original price = Discount price + Discount rate
Original price = 22.99 + 15 = 37.99
Thus original price of the game is $ 37.99
<em><u>b. What is the percent of discount to the nearest percent?</u></em>
Let "x" be the percent of discount
Then, we can say,
x % of original price = discount rate
x % of 37.99 = 15
Thus percent of discount is 39 %
<em><u>c. On Thursday, the discounted price of your video game is $12.99</u></em>
Original price = 12.99 + 15 = 27.99
Thus original price is $ 27.99
<em><u>d. What is the percent of discount to the nearest percent?</u></em>
Let "x" be the percent of discount
Then, we can say,
x % of original price = discount rate
x % of 27.99 = 15
Thus percent of discount is 54 %