SOLUTION: Create equations and inequalities in one variable and use them to solve problems. 7. The high school gym holds a maximum of 1,120 people. The drama club is performing a skit in th

Algebra ->  Equations -> SOLUTION: Create equations and inequalities in one variable and use them to solve problems. 7. The high school gym holds a maximum of 1,120 people. The drama club is performing a skit in th      Log On


   

Question 1031908: Create equations and inequalities in one variable and use them to solve problems.
7. The high school gym holds a maximum of 1,120 people. The drama club is performing a skit in the gym this Friday night. There are 40 students in the drama club. Write an inequality to determine how many guests each student can invite to the skit. (show work)
A 40+40^g≤1120
B 40+40^g≥1120
C 40+40g≥1120
D 40+40g≤1120
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
M = max number of people allowed
g = number of guests per student invited

There are 40 students. Each of those 40 students can invite g students. So there are 40*g = 40g guests total

Overall, there are 40+40g students plus their respective guests. This number cannot go higher than 1120, so

40%2B40g+%3C=+M

40%2B40g+%3C=+1120

The final answer is answer choice D