Question

5.NF.I

9) Jacob's bunny weighed 3 3/4
ounces at birth. At one week old,
the bunny weighed 5 % ounces. At
two weeks old, the bunny weighed
62 ounces. If the weight gain
continues in this pattern, how
much will the bunny weigh at four
weeks old?

Answer 1

The bunny will weigh 91.75 ounces at four weeks old, following a consistent pattern of
`\( (17)/(4) \)` ounces daily gain observed from birth to two weeks.

Let's break down the information given:

1. At birth: 3 3/4 ounces.

2. At one week old: 5 % ounces.

3. At two weeks old: 62 ounces.

To find the growth pattern, we'll first determine the weight gain from birth to one week:

`\[ \text{Weight gain at 1 week} = \text{Weight at 1 week} - \text{Weight at birth} \]\[ \text{Weight gain at 1 week} = 5 - (3)/(4) = (17)/(4) \text{ ounces} \]`

Now, we can find the average daily weight gain. The bunny gains
`\( (17)/(4) \)` ounces in the first week, so the daily gain is
`\( (17)/(4) / 7 \)` ounces.

Now, for the third week, we know the bunny weighed 62 ounces at two weeks old. So, the weight gain from two weeks to three weeks is
`\( (17)/(4) \)` ounces per day.

For the fourth week, the bunny will be
`\( 62 + (17)/(4) * 7 \)` ounces.

Now, let's calculate:

`\[ \text{Weight at 4 weeks} = 62 + (17)/(4) * 7 \]\[ \text{Weight at 4 weeks} = 62 + (17)/(4) * 7 \]\[ \text{Weight at 4 weeks} = 62 + (119)/(4) \]\[ \text{Weight at 4 weeks} = (248)/(4) + (119)/(4) \]\[ \text{Weight at 4 weeks} = (367)/(4) \]`

So, the bunny will weigh
`\( (367)/(4) \)` = 91.75 ounces at four weeks old.