Question

emilys math teacher finds that theres roughly a linear relationship between the amount of time students spend on their homework and their weekly quiz scores. this relationship can be represented by the equation $y = 6.6x + 55$, where $y$ represents the expected quiz score and $x$ represents hours spent on homework that week. what is the meaning of the $x$-value when $y = 85$? answer a students expected quiz score if they spent 85 hours on their homework. how many hours a student spends studying all year. the number of hours a student should spend on their homework to expect a score of 85 on the quiz. a students expected quiz score if they spent no time on their homework.

Explanation:

The equation \(y = 6.6x+55\) is a linear relationship where \(y\) is the quiz score and \(x\) is the hours spent on homework. When \(y = 85\), we substitute \(y = 85\) into the equation and solve for \(x\). The \(x\) - value in this context represents the number of hours a student needs to spend on homework to get a quiz score of \(y = 85\).

Answer:

The number of hours a student should spend on their homework to expect a score of 85 on the quiz.