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.

The independent variable, [tex]x[/tex], represents the \_\_\_\_\_ , and the dependent variable is the \_\_\_\_\_ , because the \_\_\_\_\_ depends on the \_\_\_\_\_.

A function relating these variables is [tex]T(x) = \_\_\_\_\_ [/tex].

So [tex]T(29) = \_\_\_\_\_[/tex], meaning 29 \_\_\_\_\_.



Answer :

Sure, let's answer the questions step by step:

1. The independent variable, [tex]\( x \)[/tex], represents the:
- `number of questions answered correctly`.

2. And the dependent variable is the:
- `total score`,

3. because the:
- `total score`

4. depends on the:
- `number of questions answered correctly`.

5. A function relating these variables is [tex]\( T(x) = \)[/tex]:
- `3x`.

6. So [tex]\( T(29) = \)[/tex]:
- `87`,

7. meaning 29:
- `questions`

8. answered correctly.

So, the completed statements are:

1. The independent variable, [tex]\( x \)[/tex], represents the `number of questions answered correctly`, and the dependent variable is the `total score`, because the `total score` depends on the `number of questions answered correctly`. A function relating these variables is [tex]\( T(x) = 3x \)[/tex].

2. So [tex]\( T(29) = 87 \)[/tex], meaning 29 `questions` `answered correctly`.