Answer:Let x represent the number of people
:
A) Regular Cost = 40x
:
B) Group Cost = 25x + 150
:
C) equation graph A is the red line, B is the green line
x axis(each tick mark is one person), y axis(each tick mark is $100)
+graph%28+300%2C+200%2C+0%2C+15%2C+0%2C+600%2C+40x%2C+25%2Ax+%2B150%29+
:
D) The admission prices are the same when there are 10
people and the cost is $400
:
E) 6 people, regular price = 40 * 6 = $240
6 people, group price = (25 * 6) + 150 = $300
:
F) We look at the graph of the two cost functions
The regular cost function is cheaper when we have less than 10 people
The group cost is cheaper when we have more than 10 people
:
G) we solve each cost function for x when the cost is $300
40x = 300
:
x = 7.5 people
:
25x + 150 = 300
25x = 150
x = 6
:
regular price allows us to bring 7 people, one person more than group price
Hope this helps! ~ Autumn :)
