Question

.. an. v. . it V V is going on afield trip to Austin to of Texas History and lo see an I MAX Ruiz day given the number of hours and bus has 55 passenger Viv person to cover the bus cost depending on a M i

Answer 1

This is one of those problems where you'll sink like a rock if
you allow yourself to be blinded by all the useless, unnecessary,
irrelevant information in the first paragraph.

The ONLY information you need is:

-- You're chartering a bus for 1 day.
-- It costs  $780 .

That's ALL .

(You don't even need to know that the bus has 55 seats.
You might need that for #8 - #12, but not for #6 or #7.)
_________________________

If the people on the trip are going to share the cost of the bus,
then the cost of each share depends on the number of people.

             Less people ==> each one pays more.
             More people ==> each one pays less.

Just like everybody in the office sharing the cost of
a birthday gift for the boss.

#6 and #7 should really be done in the reverse order ...
do #7 before you worry about #6.
Before you can fill in the table in #6, you absolutely need
to have the equation, whether or not you realize it.

The total cost is fixed . . . It's $780 .

If 2 people go on the trip, each one pays  780 / 2 .
If 3 people go on the trip, each one pays  780 / 3 .
If 4 people go on the trip, each one pays  780 / 4 .
If 5 people go on the trip, each one pays  780 / 5 .
.
.
If 10 people go on the trip, each one pays  780 / 10 .
.
.
If 20 people go on the trip, each one pays  780 / 20 .
.
.
If ' n ' people go on the trip, each one pays  780 / n .
.
.  until the bus is full ...
.
If 55 people go on the trip, each one pays  780 / 55 .
.
If 56 people go on the trip, then you need another bus,
and it gets more complicated.

But up to 55, the price per person is (780 / the number of people).

  #7).             P  =  780 / n .

Now, filling in the table in #6 is a piece 'o cake.

5 people. . . . . . . 780 / 5
10 people . . . . . 780 / 10
15 people . . . . . 780 / 15
20 people . . . . . 780 / 20
.
.
etc.

Just don't go past 55 people.  The equation changes after that.

For ANY number of people, even hundreds, and ANY number
of buses, I think the equation looks something like this:

                P  =  (785/n) · [ 1 + int(n/56) ]  .

' int ' means ' the greatest integer in ... ', that is,
                     ' throw away the fractional part of the quotient,
                       and use only the whole number '.