After lunch, Hailey goes to the pet store. Suppose Hailey buys 5 guinea pigs at 20% off the original price of g dollars per guinea pig, which expression will NOT give Hailey's total cost?
Responses
A 4g4g
B 5g - 0.205g - 0.20
C 5g − 0.2(5g)5g − 0.2(5g)
D 5g − 1g
The correct answer is D) 5g - 1g.
This expression does not give the total cost because subtracting 1g from 5g only leaves 4g, which does not account for the original price of the guinea pigs. The expression is missing the discount percentage and does not calculate the final cost accurately.
The other expressions (A, B, and C) all include the original price (g), the discount percentage (0.2), and the number of guinea pigs (5), which are necessary to calculate the total cost.
To find Hailey's total cost, we need to calculate the cost of each guinea pig after the discount and then multiply it by the number of guinea pigs she bought.
Let's go through each expression to determine which one does NOT give Hailey's total cost:
A) 4g - This expression shows the cost of 4 guinea pigs, not 5. Therefore, it does NOT give Hailey's total cost.
B) 5g - 0.205g - 0.20 - This expression calculates the original cost of each guinea pig (5g), then subtracts a discount of 0.205g, and subtracts an additional 0.20. So, this expression gives Hailey's total cost.
C) 5g - 0.2(5g) - This expression calculates the original cost of each guinea pig (5g), then subtracts a discount of 0.2 times the original cost. So, this expression gives Hailey's total cost.
D) 5g - 1g - This expression calculates the original cost of each guinea pig (5g), then subtracts a discount of 1g. So, this expression gives Hailey's total cost.
Therefore, the expression that does NOT give Hailey's total cost is A) 4g.
To determine the expression that will NOT give Hailey's total cost, we need to calculate the total cost using each expression and compare it to the actual cost.
The original price of each guinea pig is g dollars, and Hailey gets a 20% discount. Therefore, she pays 80% of the original price, which is 0.8g dollars.
Now let's calculate the total cost using each expression:
A) 4g: This expression does not include any discount calculation, so it does not represent the total cost accurately. Therefore, it is a potential candidate for the answer.
B) 5g - 0.205g - 0.20: Here, 0.205g is 20% of g, and she gets a 20% discount. So, the expression correctly calculates the discounted price for each guinea pig. The expression also correctly multiplies by 5 to account for the quantity of guinea pigs. Therefore, this expression gives the correct total cost.
C) 5g − 0.2(5g): This expression calculates the discounted price for each guinea pig correctly (0.2 * 5g). Then, it subtracts this value from the original price (5g). Thus, this expression also gives the correct total cost.
D) 5g − 1g: This expression does not represent any discount calculation, so it does not give the correct total cost. Therefore, it is a potential candidate for the answer.
Therefore, the expression that will NOT give Hailey's total cost is D) 5g − 1g.