Answer:
B , C
Step-by-step explanation:
We assume that Thomas asked only one friend to participate.
It can be seen that the pattern for days and cans is as follows,
On the 1st day, Thomas has 2 cans i.e. [tex]2^{1}[/tex] cans.
On the 2nd day, Thomas has 4 cans i.e. [tex]2^{2}[/tex] cans.
On the 3rd day, Thomas has 8 cans i.e. [tex]2^{3}[/tex] cans.
On the 4th day, Thomas has 16 cans i.e. [tex]2^{4}[/tex] cans.
This pattern goes on till day 10.
So, we get on x day, Thomas has [tex]2^{x}[/tex] cans , where x ranges from 1 to 10.
Therefore, the corresponding function is [tex]f(x)=2^{x}[/tex].
This gives that for each day (x) there is a unique value of the amount of cans [tex](2^{x})[/tex]
Now, the 'Vertical Line Test' is the test where we draw a vertical line passing through the graph and if it cuts the graph at exactly one point, then the graphed curve is a function.
As, we can see from the graph below, the vertical line cuts f(x) at exactly one point. Therefore, f(x) is a function.
Hence, 'the graph of the sequence passes the vertical line test.
Moreover, it is clear that 'each day corresponds to a unique amount of cans'.
Hence, options B and C are correct.
