Question

Rachel is buying movie tickets that cost $12 each. The function p(m) = 12m determines the total price, p(m), after she purchases m tickets. Rachel will buy between 2 and 8 tickets, depending on how many people end up going. What is the reasonable range of the total price in this situation?

Answer 1

The reasonable range of the total price is between $24 and $96.

Step-by-step explanation:

The function p(m) = 12m represents the total price, p(m), after Rachel purchases m tickets that cost $12 each.

1. 
   
2. If Rachel buys 2 tickets, the total price would be p(2) = 12 * 2 = $24.
3. 
   
4. If Rachel buys 8 tickets, the total price would be p(8) = 12 * 8 = $96.

Therefore, the reasonable range of the total price in this situation is between $24 and $96.