Question
Match the following equation to the correct situation.
A + A(5%) = A(1.05)
A.
the amount Ryan paid for two shirts, one was full price for A, the other was discounted 5%
B.
the amount Jess owes Julie from borrowing A with 5% interest
C.
the amount Tonya owes after putting 5% down on an A home
D.
the amount donated by a company which gives 5% of A dollars collected at a charity banquet
A + A(5%) = A(1.05)
A.
the amount Ryan paid for two shirts, one was full price for A, the other was discounted 5%
B.
the amount Jess owes Julie from borrowing A with 5% interest
C.
the amount Tonya owes after putting 5% down on an A home
D.
the amount donated by a company which gives 5% of A dollars collected at a charity banquet
Answers
GPT-4o mini
The equation \( A + A(5\%) = A(1.05) \) can be interpreted as the total amount when you take an amount \( A \) and add 5% of that amount.
Here are the matches for each situation:
- **A.** the amount Ryan paid for two shirts, one was full price for A, the other was discounted 5%
**(Incorrect)** - This situation describes a total amount after applying a discount, not adding a percentage.
- **B.** the amount Jess owes Julie from borrowing A with 5% interest
**(Correct)** - This describes a situation where you borrow \( A \) plus 5% interest.
- **C.** the amount Tonya owes after putting 5% down on an A home
**(Incorrect)** - In this case, she would pay a percentage of \( A \) upfront, but the total amount owed would not equal \( A(1.05) \).
- **D.** the amount donated by a company which gives 5% of A dollars collected at a charity banquet
**(Incorrect)** - This situation would not correctly lead to an expression of adding 5% to the total.
Thus, only **B** accurately reflects the equation given.
Here are the matches for each situation:
- **A.** the amount Ryan paid for two shirts, one was full price for A, the other was discounted 5%
**(Incorrect)** - This situation describes a total amount after applying a discount, not adding a percentage.
- **B.** the amount Jess owes Julie from borrowing A with 5% interest
**(Correct)** - This describes a situation where you borrow \( A \) plus 5% interest.
- **C.** the amount Tonya owes after putting 5% down on an A home
**(Incorrect)** - In this case, she would pay a percentage of \( A \) upfront, but the total amount owed would not equal \( A(1.05) \).
- **D.** the amount donated by a company which gives 5% of A dollars collected at a charity banquet
**(Incorrect)** - This situation would not correctly lead to an expression of adding 5% to the total.
Thus, only **B** accurately reflects the equation given.