128 points if you
the problem: ms. chen is planning to take her camp group on a field trip to pottery bayou where each person will create her own piece of art pottery

. the regular cost is $20 per person. there is a group special that costs $10 per person with an additional $50 fee for a private room.

ms. chen is trying to decide if she should use the regular price or the group special.
a) write an equation to show the total cost of the regular price with x people. (2 points) b) write an equation to show the total cost of the group special with x people. (2 points) c) graph the equations using desmos.

(2 points) • directions for using the site • share the link to your graph by copying & pasting it here: d) when would the two admission prices be the same? explain how you know this using 1-2 complete sentences.

(2 points) e) how much would it cost to bring 6 people on the field trip for the regular price, and how much for the group special? explain how you know this using 1-2 complete sentences.

(2 points) f) when would it be better to go with the regular price and when would it be better to go with the group special? explain how you know this using 1-2 complete sentences. (2 points) g) the director of the camp told ms. chen that she can have a budget of $150 to bring as many campers as she can.

what deal should ms. chen go with and what is the maximum number of people she can bring with $150? support your answer by showing how many people can go with each deal using 2-3 complete sentences. (3 points)