Question

On your next vacation, you will divide lodging between large resorts and small inns. Let x represent the number of nights spent in large resorts. Let y represent the number of nights spent in small inns.
a) Write a system of inequalities that models the following conditions: you want to stay at least 5 nights. At least one night should be spent at a large resort. Large resorts average $200 per night and small inns average $100 per night. Your budget permits no more than $700 for lodging.

Answer 1

i got 200x+100y<=700, x+y>=5,x>=1,y>=0. Now i need to know how many nights for the larger resort?

Answer 2

@electrokid

Answer 3

yep.
nice work setting up the system of equations

Answer 4

thank you

Answer 5

now graph em

Answer 6

you can simplify the first equation with the 200 and 700 thingy

Answer 7

okay

Answer 8

is it 3 nights in the larger?

Answer 9

nope

Answer 10

2 nights for $400?

Answer 11

it should be 3nights for the smaller

Answer 12

so, 2 nights for the larger

Answer 13

yes