Let's go through the problem step by step to fill in the blanks and complete the function.

Problem Explanation

• Independent variable: This represents the number of bagels purchased, denoted as $x$.
• Dependent variable: This represents the total cost, which depends on the number of bagels purchased, denoted as $T(x)$.
• The cost per bagel is $0.75.

Step 1: Fill in the Independent and Dependent Variables

• The independent variable, $x$, represents the number of bagels purchased.
• The dependent variable, $T(x)$, represents the total cost, because the total cost depends on the number of bagels purchased.

Step 2: Write the Function Relating the Variables

• The total cost $T(x)$ is the number of bagels $x$ multiplied by the cost per bagel ($0.75). Therefore, the function is: $T(x) = 0.75x$

Step 3: Evaluate the Function for a Specific Number of Bagels

• To find the total cost for 14 bagels, substitute $x = 14$ into the function: $T(14) = 0.75 \times 14 = 10.50$ So, $T(14) = 10.50$, meaning 14 bagels cost $10.50.

Final Answer:

• The independent variable, $x$, represents the number of bagels purchased, and the dependent variable is the total cost, because the total cost depends on the number of bagels purchased.
• A function relating these variables is $T(x) = 0.75x$.
• So $T(14) = 10.50$, meaning 14 bagels cost $10.50.

Do you want more details or have any questions?

Here are 5 related questions:

1. How much would 20 bagels cost?
2. If Aaden spent $15 on bagels, how many bagels did he buy?
3. How would the function change if each bagel cost $1.00 instead of $0.75?
4. If Aaden had a budget of $25, how many bagels could he buy?
5. What is the total cost for buying 50 bagels?

Tip: When writing functions for real-life problems, always identify which variable is dependent and which is independent—this helps in defining the function correctly.