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Vitek1552 [10]
3 years ago
6

Jarrett's puppy weighed 3 3/4 ounces at Birth. At 1 week old, the puppy weighed 5 1/8 ounces. At 2 weeks old, the puppy weighed

6 1/2 ounces. If the weight gain continues in this pattern, how much will the puppy weigh at 3 weeks old?
Mathematics
2 answers:
katrin2010 [14]3 years ago
8 0

Answer:

19.25 is the answer

Step-by-step explanation:

Ad libitum [116K]3 years ago
5 0

Answer:  The answer is 7\dfrac{7}{8} ounces.

Step-by-step explanation: Given in the question the weight of Jarrett's puppy at birth, one week old and 2 weeks old are as follows:

b_0=3\dfrac{3}{4}=\dfrac{15}{4}~\textup{ounces},\\\\\\b_1=5\dfrac{1}{8}=\dfrac{41}{8}~\textup{ounces},\\\\\\b_3=6\dfrac{1}{2}=\dfrac{13}{2}~\textup{ounces}.

We can see that

b_1-b_0=b_2-b_1=\dfrac{11}{8}.

So, the weight of the baby will make an arithmetic progression with first term 'a' and common difference 'd' as follows:

b_0=\dfrac{15}{4},~~d=\dfrac{11}{8}.

Thus, the weight of the puupy after 3 weeks will be

b_3=b_0+3\times d=\dfrac{15}{4}+3\times\dfrac{11}{8}=\dfrac{30+33}{8}=\dfrac{63}{8}=7\dfrac{7}{8}~\textup{ounces}.

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<u>Step-by-step explanation:</u>

The equations below model the ounces of  water, y, in each container after x minutes.

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At the time after the start when the containers hold  the same amount of water, the two equations must be equal.

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