Given :
Nancy has 1 box of carrots.
Each day, she picks another 1/2 box
So, the number of boxes will every day will increase by 1/2 box
this can be represented by following sequence:
1 , 1 1/2 , 2 , 2 1/2 , ......
The first term is : a = 1
And the common difference : d = 1/2
So, if the number of days = x
And the number of boxes = y
so,
[tex]\begin{gathered} y=d\cdot x+a \\ \\ y=\frac{1}{2}x+1 \end{gathered}[/tex]The graph and the table of the equation will be as shown in the following image :
How many boxes of carrots will Nancy have in 6 days ?
When x = 6
The number of boxes = 1/2 * 6 + 1 = 3 + 1 = 4 boxes
