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------------------------------------------------ At the beginning of the summer, there are 12 rabbits living in a field. Each week for the rest of the summer, another rabbit moves in.

1. Define a unit for the amount of time since summer started. Enter a variable for the amount of time since summer started and use this variable to write an expression for the number of rabbits living in the field.

2. How many rabbits will be living in the field 63 days after summer starts?

3. When there are 23 rabbits living in the field, how many weeks has it been?

After completing the worksheet, graph your model.

\[
\begin{tabular}{|r|l|l|}
\hline
\multicolumn{1}{|c|}{Quantity Name} & \multicolumn{1}{|c|}{Time} & \multicolumn{1}{|c|}{Rabbits} \\
\hline
Unit & weeks & rabbits \\
\hline
Expression & & \\
\hline
Question 1 & & \\
\hline
Question 2 & & \\
\hline
\end{tabular}
\]

Let's solve this problem step-by-step:

1. Define a Unit for Time and an Expression for Rabbits:

- We will consider the unit of time as weeks since that's when a new rabbit moves in. Let's use `t` to represent the number of weeks since the start of summer.
- Initially, there are 12 rabbits. Every week, 1 more rabbit moves in, so the expression for the number of rabbits after `t` weeks is:
[tex]\[
\text{Number of rabbits} = 12 + t
\][/tex]

2. Question 1: How many rabbits will be living in the field 63 days after summer starts?

- First, convert days into weeks since our time unit is weeks. There are 7 days in a week.
- Calculate the number of weeks: [tex]$\frac{63 \text{ days}}{7 \text{ days/week}} = 9 \text{ weeks}$[/tex].
- Substitute [tex]$t = 9$[/tex] into our expression for the number of rabbits:
[tex]\[
\text{Number of rabbits} = 12 + 9 = 21
\][/tex]
- Therefore, there will be 21 rabbits living in the field 63 days after summer starts.

3. Question 2: When there are 23 rabbits living in the field, how many weeks has it been?

- We set our expression for the number of rabbits equal to 23 to solve for `t`:
[tex]\[
12 + t = 23
\][/tex]
- Subtract 12 from both sides:
[tex]\[
t = 23 - 12 = 11
\][/tex]
- It has been 11 weeks since the start of summer.

With these calculations, you can see how to determine the number of rabbits at any given time and how long it takes to reach a specific number of rabbits in the field.