Question

carloss 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 = 61 + 7.6x, 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 = 92? answer the number of hours a student should spend on their homework to expect a score of 92 on the quiz. a students expected quiz score if they spent 92 hours on their homework. the change in expected quiz score for every additional one hour students spend on their homework. a students expected quiz score if they spent no time on their homework.

Explanation:

Step1: Substitute y - value into equation

Given $y = 61+7.6x$ and $y = 92$, we substitute $y$: $92=61 + 7.6x$.

Step2: Solve for x

Subtract 61 from both sides: $92 - 61=7.6x$, so $31 = 7.6x$. Then $x=\frac{31}{7.6}$. Here, $x$ represents the number of hours a student should spend on their homework to expect a score of 92 on the quiz.

Answer:

The number of hours a student should spend on their homework to expect a score of 92 on the quiz.