Question

audrey is taking a multiple choice test. her grade is given by the equation $y = 90 - 2x$, where $y$ represents her final score and $x$ represents the number of questions she got wrong. what could the number 90 represent in the equation?

answer

the score she would get if she only missed one question.
her score with 0 problems wrong.
the number of problems on the test.
the points she loses for every wrong question.

Explanation:

Step1: Analyze the equation structure

The equation is \( y = 90 - 2x \), where \( y \) is the final score and \( x \) is the number of wrong questions. In a linear equation of the form \( y = b + mx \) (here \( m=-2 \), \( b = 90 \)), the constant term \( b \) (90 here) represents the value of \( y \) when \( x = 0 \).

Step2: Interpret \( x = 0 \) in the context

When \( x = 0 \), it means the number of wrong questions is 0. Substituting \( x = 0 \) into the equation \( y=90 - 2(0)=90 \). So 90 is her score when she has 0 problems wrong.

Answer:

Her score with 0 problems wrong.