Match the following equation to the correct situation.

Question

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

Answer 1

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.