Question

At the start of the summer, there are fifteen rabbits living in a field. Each week for the rest of the summer, one more rabbit comes to live there. Define a unit for the number of weeks since summer started. Enter a variable for the number of weeks since summer started and use this variable to write an expression for the number of rabbits living in the field.

How many rabbits will be in the field fourteen days after the start of summer?

Answer 1

The number of rabbits can be expressed as 15 + w, where w is the number of weeks since summer started. There will be 17 rabbits in the field fourteen days after the start of summer, as 14 days equal 2 weeks.

Step-by-step explanation:

At the start of summer, we have 15 rabbits living in a field. To express how the number of rabbits increases each week, we can use a variable to represent the weeks since the start of summer. Let's define the variable w which represents the number of weeks since summer started. Each week, one more rabbit joins the field, so for w weeks, w rabbits will have joined.

Therefore, we can write an expression to show the total number of rabbits in the field after w weeks as 15 + w. To find out how many rabbits are there fourteen days after the start of summer, we need to convert days into weeks since each week's growth is considered. There are 7 days in a week, so in fourteen days, there are 2 weeks.

Using the expression 15 + w, we just need to substitute w with 2 to find our answer:

Total number of rabbits after 14 days (or 2 weeks) = 15 + 2 = 17 rabbits.