Question

For a zoo to incur a profit, it needs to sell at least 350 admission tickets each day. Four student groups, each of which includes 48 students, have purchased tickets for admission. If z represents the number of additional tickets sold today, and the zoon made its daily profit goal successful, which of the following inequalities could represent all possible values for z?
A. $4(48) + z \leqslant 350$
B. $4(48) + z \geqslant 350$
C. $4(48) - z \leqslant 350$
D. $4(48) - z \geqslant 350$

Answer 1

Hint: In this problem, we have to use the fact that zoos have to make profit daily. A minimum number of tickets should be sold daily to get the profit.

Complete step-by-step answer:
Now, it is given that for profit, at least 350 admission tickets should be sold. Now, four groups each of 48 students have purchased tickets.
So, total number of tickets purchased by students = 4(48)
According to the question, additional tickets to be sold = z.
So, total number of tickets to be sold = 4(48) + z
So, for profit to occur, zoos have to sell at least 350 tickets.
Therefore, $4(48) + z \geqslant 350$.
So, option (B) is correct.

Note: Whenever we come up with such a type of question, we will use the relation given in the problem. Profit is made when we sell the minimum tickets according to the statement of question. In this question, we have to sell at least 350 tickets for profit. So, we add additional tickets to the tickets purchased by students and the sum of these tickets should be more than or equal to the minimum admission tickets.