Aaden is buying bagels for a family gathering. Each bagel costs $0.75. Answer the questions below regarding the relationship between the total cost and the number of bagels purchased.
Answer
Attempt 1 out of 2

The independent variable, x, represents the , and the dependent variable is the , because the  depends on the .
A function relating these variables is T, left parenthesis, x, right parenthesis, equalsT(x)= .
So T, left parenthesis, 14, right parenthesis, equalsT(14)= , meaning 1414   .

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.

Explore how the number of bagels affects the total cost with a detailed explanation. Learn about linear functions and cost analysis using the formula T(x) = 0.75x. Suitable for students in Grades 5-7.

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