Final answer:
Danielle has $335 to spend on scarves after buying shoes, and dividing this by 12 gives approximately $28 per scarf. The closest answer choice to this rate without exceeding it is $25 per scarf.
The correct answer is D.
Step-by-step explanation:
To determine the rate of change of the money Danielle spends on scarves, let's first calculate the total amount she has left after buying the shoes. Danielle's total budget for clothes is $375, and she spends $40 on a pair of shoes, leaving her with $375 - $40 = $335 for scarves. If Danielle wants to buy 12 scarves with the remaining $335, then the cost per scarf would be:
$$
\frac{\text{Total amount for scarves}}{\text{Number of scarves}} = \frac{$335}{12} = $27.92 \approx $28
$$
The closest whole dollar amount to $27.92 without going over and within the provided answer choices would be $25 per scarf (Option D).