The graph showing the number of candy bars Danielle has left, created with MS Excel is attached
The steps used to construct the graph is presented as follows;
The initial number of candy bars Danielle begins with when she starts = 72 candy bars
The number of candy bars Danielle sell each day = 8 candy bars
Therefore, the number of candy bars she has left to sell can be represented using an arithmetic progression, with the first term of 72, and a common difference of (-8), from which we get;
aₙ = a + (n - 1)·d
The formula
Where;
a = 72
d = -8
n = Number of terms which is the number of days Danielle sells the candy bars. The first term corresponds to day 0 for the sale of the candy bars
We get;
aₙ = 72 - 8·(n - 1)
The table of values with which the graph can be drawn can therefore be completed using the above equation and presented as follows;
a₁ is; 72 - 8·(1 - 1) = 72
a₂ is; 72 - 8·(2 - 1) = 64
a₃ is; 72 - 8·(3 - 1) = 56
The completed table is presented as follows
Number of days Number of candies remaining
0 72
1 64
2 56
3 48
4 40
5 32
6 24
7 16
8 8
9 0
Please find attached the graph showing the number of candy bars Danielle has left, created using MS Excel, showing that Danielle sells the 72 candy bars in 9 days
The complete question found through search is presented as follows;
Danielle needs to sell candy bars for a club fundraiser. She starts with 72 candy bars and begins selling at a constant rate of 8 bars each day
Use the segment tool to plot a graph representing the number of candy bars Danielle has left to sell from the time she begins selling until the candy bars are gone