Answer:
160 dollars per month
Step-by-step explanation:
Well you know the total amount paid is 480 dollars and payments are made once a month for three months.
Divide 480 by three to find the amount paid per month
480/3=160
160 dollars per month
Set it up like a regular equation. I used:

As you can see, however, I inserted the "less than" symbol rather than the equal sign because values greater than a certain value can also equal "x". Solve it like a normal equation and you will arrive at:
<u>
</u>

This means that, as long as x is greater than 45, "6x" will be greater than "3x+135". Thus, if you bring 46 students, the Science Center will cost less.
Divide both sides by -3, and replace
with
. Then

Factorize the quadratic in
to get

which in turn means

But
for all real
, so we can ignore the first solution. This leaves us with

If we allow for any complex solution, then we can continue with the solution we ignored:

There should be a total of 3 zeros because the largest exponent is 3.
(5,-3)(7,3)
slope = (y2 - y1) / (x2 - x1)
slope = (3 - (-3) / (7 - 5) = (3 + 3) / 2 = 6/2 = 3 <==