The drama club members estimate that they need 800 bags of popcorn to serve during the intermission of their play. Popcorn comes in cases of 25 bags. How many cases of popcorn will they need?

32cases

Step-by-step explanation:

Total number of bahs of popcorns needed = 800bags

Number of bags per case = 25bags

Required

The total cases of popcorn they will need.

Total cases of popcorn needed = Total number of bags/number of bags per case

substitute the given values

Total cases of popcorn needed = 800/25

Total cases of popcorn needed = 32 cases

Hence 32cases of popcorns will be needed

Since x can be any real number the domain is (-infinity,infinity)

 

To find the range we need to find the vertex of the parabola which is at (-b/2a , y)

-b/2a would be 2/2 = 1 ... so find the y value at x = 1

12 - 2(1) - 15 = 1-17 = -16

So the vertex is at (1,-16)

Since the parabola opens upward from that point the minimum value of the range is y = -16

The range would include the point -16 so it is actually

R = [-16,infinity)