Question

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?

Answer 1

Answer:

19.25 is the answer

Step-by-step explanation:

Answer 2

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

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