Question

A community recreation center has collected a total of 618 donated tickets for free ice cream. Beginning on the second day of summer vacation, the recreation center randomly selects 7 children to each receive one of the free ice cream tickets. Assuming the recreation center continues this pattern of giving away tickets to 7 children each day, which explicit formula shows the number of ice cream tickets remaining at the end of the day, after n number of days?

Answer 1

We can create a table listing few of the values to spot the pattern.
$\centering \label{my-label} \begin{tabular}{lll} Day & Number of tickets & Different form \\ 1 & 618-7 & 618-1\cdot7 \\ 2 & 618-14 & 618-2\cdot7 \\ 3 & 618-21 & 618-3\cdot7 \end{tabular} \end{table}$
It is clear from the table that formula we need is:
$N=618-n\cdot7$
Where n is number of a day we are looking at and N is number of tickets left.

Answer 2

Considering the situation described above, the explicit formula that shows the number of ice cream tickets remaining at the end of the day, after n number of days is "N = 618 - n x 7."

This is based on the idea that each day of the ice cream ticket is defined as 7 tickets taken.

Thus the ticket listing for each day is described as

Day 1. 618 - 7 OR 618 - 1 × 7;

Day 2. 618 - 14 OR. 618 - 2 × 7;

Day 3. 618 - 21 OR 618 - 3 × 7;

Therefore, from this illustration above, the formula needed is: "N = 618 - n x 7."

Here, it should be noted that n is the number of days under consideration, and N is several tickets left.

Hence, in this case, it is concluded that the correct answer is "N = 618 - n x 7"

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