Question

Rebecca is playing a game. After one round, your score is -14. In her second round, her score decreases. Which of the following could be her score after the second round?

-16
-14
-12
-8
A) 1 and 2
B) 1 and 3
C) 2 and 4
D) 2 and 3

Answer 1

Rebecca's score after the first round is -14. If her score decreases in the second round, it would become a number more negative than -14. Hence, the only valid score after the second round from the options provided is -16, which means the correct answer is D) 2 and 3.

Step-by-step explanation:

The question involves understanding negative numbers and how they change when they decrease (become more negative).

After the first round, Rebecca's score is -14. If her score decreases in the second round, it means the score will become a more negative number. Therefore, the potential scores after the second round could be either -16 or anything lower (more negative) than -14, but not -14 itself or anything higher (less negative) like -12 or -8.

Looking at the options provided:

• -16 is a valid answer because it is more negative than -14.
• -14 is not valid as it is the same as the score after the first round.
• -12 is not valid because it is less negative than -14, which would mean an increase, not a decrease, in score.
• -8 is also not valid for the same reason as -12.

Thus, the only valid answer that could represent her score after the second round, given that her score decreases, is -16. The correct choice from the given options that includes -16 as a possibility is:

D) 2 and 3