The cost to rent a hall for the prom is $400 and $30 per person for the meal. This can be modelled by the equation C=400+30x, where x is the number of students attending. The prom committee has $10,000. What is the greatest number of students that can attend with this budget?

320 students

Step-by-step explanation:

10,000=400+30x

10,000-400

9600=30x

9600/30

320=x

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.

step-by-step explanation:

what grade level is this? need to know so i can look in my old textbooks!