The owner of a luxury motor yacht that sails among the 4000 greek islands charges $700/person per day if exactly 20 people sign up for the cruise. however, if more than 20 people (up to the maximum capacity of 90) sign up for the cruise, then each fare is reduced by $5/person for each additional passenger. assume at least 20 people sign up for the cruise, and let x denote the number of passengers above 20.

(a) find a function r giving the revenue per day realized from the charter.
r(x) =

(b) what is the revenue per day if 55 people sign up for the cruise?

(c) what is the revenue per day if 65 people sign up for the cruise?

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3

360/29

step-by-step explanation: