Question

indigos 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 = 62 + 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 = 81? answer the change in expected quiz score for every additional one hour students spend on their homework. a students expected quiz score if they spent 1 hour on their homework. a students expected quiz score if they spent 81 hours on their homework. the number of hours a student should spend on their homework to expect a score of 81 on the quiz.

Explanation:

Step1: Substitute y - value into equation

Given $y = 62+6x$ and $y = 81$, we substitute $y$: $81=62 + 6x$.

Step2: Solve for x

Subtract 62 from both sides: $81 - 62=6x$, so $19 = 6x$. Then $x=\frac{19}{6}$. In the context of the problem, $x$ represents the number of hours spent on homework. When $y = 81$, $x$ is the number of hours a student should spend on their homework to expect a score of 81 on the quiz.

Answer:

The number of hours a student should spend on their homework to expect a score of 81 on the quiz.