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

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 '.

Answer: choice c and choice d

=====================================

explanation

the graph has a slope of 1/3 because each time you move up 1, you go to the right 3. so, slope = rise/run = 1/3. we can cross choice a off the list since we want a slope of 3, rather than 1/3.

the first table shown has a slope of -3. this is because the rise is -6 and the run is 2, so slope = rise/run = -6/2 = -3. note how x increases by 2 each time (run) and y drops by 6 each time (rise). choice b can be eliminated.

the second table has a slope of 3. each time x goes up by 1, the y values increase by 3. slope = rise/run = 3/1 = 3. alternatively you can use the slope formula to prove that the slope is 3 here. use any two rows of values to generate the two points. choice c is one of the answers

the third table also has a slope of 3. let's use the slope formula to prove as such. i'm going to use the first two rows of the table. so i'll use the two points (2,1) and (5,10)

m = slope

m = (y2-y1)/(x2-x1)

m = (10-1)/(5-2)

m = 9/3

m = 3 so we get a slope of 3

choice d is the other answer