Atheme park charges a flat fee of $500 for group bookings of more than 25 tickets, plus $20 per ticket for up to 100 tickets and $17 per ticket thereafter. if x represents the number of tickets sold under the group booking option, complete the limit equation that represents the average cost per ticket

Step-by-step explanation:

Let the theme park sold number of tickets = x

Theme park charges $500 for group booking more than 25 tickets.

In addition to this theme park charges $20 per ticket for up to 100 tickets.

So charges of 100 tickets = 500 + (100×20) = $2500

For more than 100 tickets theme park charges $17, so charges for x tickets will be = 500 + (100×20) + 17(x - 100)

= 2500 + 17(x - 100)

Cost of one ticket of the theme park =

Now we have to write the limit equation when number of tickets purchased becomes very high.

[By solving limit as below

since

Therefore,

= 17 ]

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl

the arc length is found by finding the circumference of the full circle (2xpixradius) and then dividing by 4 to find just one quarter of the circle (90 degrees).