Do the following scenarios model the equation y=2x+5? (Answer included in picture) NO, NO, YES.

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Kim is 16 years old and her sister is 8 years old.

Step-by-step explanation:

We can use equations to represent this scenario.

Let Kim's age be 'k' and her sister's age be 's'.

Thus, k=2s (since Kim's age is double of her sister)

and k+s=24 (their ages add to 24 (from question)

Substituting the first equation:

2s+s=24

3s=24

s=8

Therefore, Kim's sister is 8 years old.

Now substitute this value into the second equation:

k+8=24

k=16

Therefore, Kim is 16 years old.