fter 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 expression that will NOT give Hailey's total cost is D) 5g - 1g. This expression does not include any discount or subtract any percentage off the original price.
To determine which expression will NOT give Hailey's total cost, we need to understand the given information and determine the correct mathematical expression.
1. Hailey buys 5 guinea pigs.
2. The original price of each guinea pig is g dollars.
3. Hailey gets a 20% discount on the original price.
Let's break down the expressions:
A) 4g:
This expression represents the total cost if Hailey buys 4 guinea pigs at the original price. It does not take into account the discount or the correct number of guinea pigs, so it does not give Hailey's total cost.
B) 5g - 0.205g - 0.20:
This expression subtracts the discount (0.205g) and an additional 20% (0.20) from the total cost of 5 guinea pigs at the original price (5g). This expression correctly calculates Hailey's total cost.
C) 5g − 0.2(5g):
This expression subtracts the discount (0.2 times the original price of 5 guinea pigs) from the total cost of 5 guinea pigs at the original price. This expression correctly calculates Hailey's total cost.
D) 5g − 1g:
This expression subtracts one guinea pig's price from the total cost of 5 guinea pigs at the original price. It does not consider the discount or the correct number of guinea pigs, so it does not give Hailey's total cost.
Based on the analysis above, the expression that will NOT give Hailey's total cost is A) 4g.
To determine which expression does not give Hailey's total cost, we need to first write an expression for Hailey's total cost.
Let's break down the problem:
- Hailey buys 5 guinea pigs.
- The original price of each guinea pig is g dollars.
- Hailey gets a 20% discount on each guinea pig.
To calculate Hailey's total cost, we need to find the price after the discount and then multiply it by the number of guinea pigs. The expression for Hailey's total cost can be written as:
Total cost = (Original price after discount) x (Number of guinea pigs)
The original price after the discount can be calculated by subtracting the discount amount from the original price:
Original price after discount = g - (0.20g) = (1 - 0.20)g = 0.80g
Now, we can rewrite the expression for Hailey's total cost:
Total cost = (0.80g) x 5 = 4g
Comparing this expression with the given options:
A) 4g: This expression matches the calculated total cost. It could be the correct answer.
B) 5g - 0.205g - 0.20: This expression doesn't match the calculated total cost because it includes a subtracted discount amount and an extra 0.20 term.
C) 5g - 0.2(5g): This expression doesn't match the calculated total cost because it includes a subtracted discount amount.
D) 5g - 1g: This expression doesn't match the calculated total cost because it subtracts 1g, which is not related to the discount.
Based on the analysis above, the expression that will NOT give Hailey's total cost is B) 5g - 0.205g - 0.20