Question

Rosa has already eaten 10 pretzels from a bag that originally contained \(p\) pretzels. If Rosa is able to eat each remaining pretzel in 18 seconds, which of the following represents the amount of additional time, in seconds, needed for Rosa to eat all the pretzels in the bag? A) \(10(18-p)\) B) \(10(p-18)\) C) \(18(10-p)\) D) \(18(p-10)\)

Short answer

The correct answer is D) \(18(p - 10)\).

Step-by-step solution

Determine the number of remaining pretzels in the bag

To find out how many pretzels are left in the bag after Rosa ate 10 of them, we need to subtract the number of eaten pretzels (10) from the total number of pretzels in the bag (p): \(p - 10\).

Find the expression for the total additional time to eat the remaining pretzels

Now that we know there are \(p - 10\) pretzels remaining in the bag, we can calculate the total time needed to eat all of them by multiplying the number of remaining pretzels by the time it takes to eat one pretzel (18 seconds): \[18(p - 10)\]. This expression represents the total amount of additional time, in seconds, needed for Rosa to eat all the pretzels in the bag.

Match the expression with the answer choices

Comparing the obtained expression from Step 2 with the given answer choices, we find that it matches with option D. Therefore, the correct answer is: D) \(18(p - 10)\).