Problem 4 describes a function $C$ that gives the cost in dollars of buying $n$ apples. We need to interpret the expressions $C(5) = 4.50$ and $C(2)$ in this context. Problem 5 states that a number of identical cups are stacked up, and the number of cups and the height of the stack are related. We need to determine if the height of the stack is a function of the number of cups.

1. Problem Description

Problem 4 describes a function $C$ that gives the cost in dollars of buying $n$ apples. We need to interpret the expressions $C(5) = 4.50$ and $C(2)$ in this context.

Problem 5 states that a number of identical cups are stacked up, and the number of cups and the height of the stack are related. We need to determine if the height of the stack is a function of the number of cups.

2. Solution Steps

Problem 4:

a. $C(5) = 4.50$ means that the cost of buying 5 apples is $4.

5

0. b. $C(2)$ means the cost of buying 2 apples. We do not know the exact amount in dollars, but it represents the cost.

Problem 5:

a. Yes, the height of the stack is a function of the number of cups in the stack. For each number of cups, there is only one possible height for the stack. If you have $n$ cups, they will create a single stack of a specific height. It is not possible to have different stack heights with the same number of cups, assuming the cups are identical and stacked in the same manner. This assumes the cups are stacked in the standard way, one on top of the other.

3. Final Answer

Problem 4:

a. $C(5) = 4.50$ represents that the cost of buying 5 apples is $4.

5

0. b. $C(2)$ represents the cost of buying 2 apples.

Problem 5:

a. Yes, the height of the stack is a function of the number of cups. For a given number of cups, there will be only one corresponding height of the stack.