Mila'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

The independent variable, x, represents the
number of questions correct
, and the dependent variable is the
score on the test
, because the
score on the test
depends on the
number of questions correct
.
A function relating these variables is V, left parenthesis, x, right parenthesis, equalsV(x)=
.
So V, left parenthesis, 21, right parenthesis, equalsV(21)=
, meaning 2121

1 answer

To express the relationship between the number of questions answered correctly and the score on the test, we can establish a function. Since each correctly answered question is worth 3 points, the function \( V(x) \) can be defined as follows:

\[ V(x) = 3x \]

Where:

  • \( V(x) \) is the score on the test,
  • \( x \) is the number of questions answered correctly.

Now, if we want to calculate the score when 21 questions are answered correctly:

\[ V(21) = 3 \times 21 = 63 \]

Thus, to complete your statement:

  • A function relating these variables is \( V(x) = 3x \).
  • So \( V(21) = 63 \), meaning if 21 questions are answered correctly, Mila will score 63 points on the test.