Final answer:
To solve the student's inquiry, the discounts for each grill were calculated as percentages of their original prices. The matched discounts based on the closest calculations are 17.5% for the $35 off a $199.99 grill and 15.0% for the $45 off a $299.99 grill, however, there might be a mistake in the question as the percentages do not match the options exactly.
Step-by-step explanation:
To match each sale with the correct discount percentage, we need to calculate the percentage discount of the original price for each grill. The formula for percent discount is (discount amount / original price) * 100%. Let's work through them one by one:
- $75.00 off $399.99: ($75.00 / $399.99) * 100% = 18.75%, which isn't an option given, so there might be a typo or mistake.
- $115.00 off $599.99: ($115.00 / $599.99) * 100% = 19.17%, which again isn't an exact match, indicating the possibility of a typo or rounding difference.
- $35.00 off $199.99: ($35.00 / $199.99) * 100% = 17.5%, matching option a).
- $45.00 off $299.99: ($45.00 / $299.99) * 100% = 15.0%, which matches option b).
The correct matches based on the closest calculations are:
- a) 17.5% corresponds to the $35.00 off a grill that normally sells for $199.99
- b) 15.0% corresponds to the $45.00 off a grill that normally sells for $299.99
Note that the percentages for the $75.00 off $399.99 and $115.00 off $599.99 sales are not exact matches to the options given, so there could be a mistake in the question, or further information might be needed to make an exact match.