Write the system of inequalities carlos works at a movie theater selling tickets. the theater has 300 seats and charges $7.50 for adults and $5.50 for children. the theater expects to make at least $2000 for each showing

x + y ≤ 300

7.50x + 5.50y ≥ 2000

Step-by-step explanation:

It is given that the theater hall has 300 seats.

If there are x adults and y children then they must satisfy the following inequality that  

x + y ≤ 300 (1)

Now, it is also given that the charge for tickets for adults is $7.50 per ticket and that for children is $5.50 per ticket and the theater expects to make at least $2000 for each show.

Therefore, the following inequality can be written as

7.50x + 5.50y ≥ 2000 (2)

Hence, the inequality equations (1) and (2) can be written from the given data. (Answer)

the correct answer is 5

correct choice is b

step-by-step explanation:

when you calculate the average rate of change of a function, you are finding the slope of the secant line between the two points. for the function the average rate of change from point to point can be calculated as

to find the average rate of change from day 2 to day 10, note that at day 2, 8 houses were sold, so a(2,8) and at day 10, 2 houses were sold, so b(10,2). thus,