To determine if Helena's statement is reasonable, let's do the calculations using the information provided:
-
Total cost of muffins: Helena bought a muffin for herself and five of her friends, totaling six muffins. Each muffin costs $1.02. \[ \text{Total cost} = 6 \times 1.02 = 6.12 \]
-
Remaining balance: Helena originally had $14.48 on her gift card. After buying the muffins, her remaining balance would be: \[ \text{Remaining balance} = 14.48 - 6.12 = 8.36 \]
Now, let's evaluate Helena's statement that she has about $8.50 left on her gift card.
We can consider the options provided:
A. This option states that rounding $14.48 to $14.50 and $1.02 to $2 gives a remaining balance calculation of $2.50, which clearly is incorrect.
B. This option states that rounding $14.48 to $14.40 and $1.02 to $1 gives a remaining balance of $9.40, which is also too high.
C. This option indicates rounding $14.48 to $15 and $1.02 to $2 gives a remaining balance of $5, which also does not match.
D. This option states that if we round $14.48 to $14.50 and $1.02 to $1, the calculation is: \[ 14.50 - 6 \times 1 = 14.50 - 6 = 8.50 \] This calculation gives exactly $8.50.
Thus, the statement is reasonable since Helena could have about $8.50 left after her purchases.
The correct answer is D.