Wyatt's math teacher said that each question answered correctly on a test would be worth 3 points. Answer the questions below regarding the relationship between the number of questions correct and the score on the test.
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, 29, right parenthesis, equalsT(29)=
, meaning 2929

Let's break down the information in this problem to answer the questions step-by-step:

1. The **independent variable (x)** is the number of questions answered correctly because it's the input value that you control.
2. The **dependent variable** is the score on the test because the score depends on the number of questions answered correctly.
3. A function relating these variables would be:  
   \( T(x) = 3x \), where \( T(x) \) represents the test score based on the number of correct answers (x).
   
4. So \( T(29) = 3 \times 29 = 87 \). This means that if Wyatt answers 29 questions correctly, he would get a score of 87 points.

Here’s how the filled-in statement should look:

The independent variable, \( x \), represents the **number of questions answered correctly**, and the dependent variable is the **score on the test**, because the **score** depends on the **number of questions correct**.

A function relating these variables is \( T(x) = 3x \).

So \( T(29) = 87 \), meaning if 29 questions are correct, the score is 87 points.

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Would you like more details or have any questions? Here are 5 related questions:

1. How would the function change if each question were worth 4 points instead of 3?
2. What would the score be if 15 questions were answered correctly?
3. If Wyatt scored 75 points, how many questions did he answer correctly?
4. How can you represent this relationship graphically?
5. What is the significance of the slope in this function?

**Tip:** The independent variable (input) is usually the one you can control directly, while the dependent variable (output) is determined by the independent variable.

Explore how the number of correct answers on a test affects the final score. Learn the function T(x) = 3x, where T(x) represents the score based on the number of questions answered correctly. Example calculation provided for 29 correct answers.

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