Bo is buying a board game that usually costs B dollars. The game is on sale, and the price has been reduced by 18%.Which of the following expressions could represent how much Bo pays for the game?Choose 2 answers:0.82B1.18BB−0.18B−18B−0.18B
Q. Bo is buying a board game that usually costs B dollars. The game is on sale, and the price has been reduced by 18%.Which of the following expressions could represent how much Bo pays for the game?Choose 2 answers:0.82B1.18BB−0.18B−18B−0.18B
Calculate Discounted Price: Bo's board game originally costs B dollars. An 18% discount means Bo will pay 18% less than the original price. To calculate the discounted price, we subtract 18% of B from B.Discounted price = Original price - DiscountDiscount = Original price × Discount rateDiscount = B×0.18Discounted price = B−(B×0.18)
Simplify Expression: Now we simplify the expression for the discounted price.Discounted price = B−0.18BThis simplifies to:Discounted price = B(1−0.18)Discounted price = B(0.82)So, one expression that represents the discounted price is 0.82B.
Evaluate Other Options: The other options need to be evaluated to see if they also represent the discounted price. The expression B−0.18 does not make sense because 0.18 is not a percentage of B, it's a fixed amount. Therefore, this cannot represent an 18% discount on a variable price B.
Incorrect Expressions: The expression B−18 also does not make sense for the same reason as the previous step; it subtracts a fixed amount rather than a percentage of B.
Higher Price Expression: The expression 1.18B would represent a price that is 18% higher than the original price, not 18% lower. Therefore, this expression does not represent the discounted price.
Final Expression: The last expression to consider is B−0.18B. This is the same as the expression we derived in the second step, which simplifies to 0.82B. Therefore, this expression does represent the discounted price.
More problems from Write a linear inequality: word problems