Question

wyatts 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 + 60, 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 = 82? answer a students expected quiz score if they spent 82 hours on their homework. how many hours a student spends studying all year. a students expected quiz score if they spent 1 hour on their homework. the number of hours a student should spend on their homework to expect a score of 82 on the quiz.

Explanation:

Step1: Substitute y - value into equation

Given $y = 6.6x+60$ and $y = 82$, we substitute $y$: $82=6.6x + 60$.

Step2: Solve for x

Subtract 60 from both sides: $82 - 60=6.6x$, so $22 = 6.6x$. Then divide both sides by 6.6: $x=\frac{22}{6.6}=\frac{220}{66}=\frac{10}{3}$. The $x$ - value represents the number of hours spent on homework. In the context of the problem, when $y = 82$, the $x$ - value is the number of hours a student should spend on their homework to expect a score of 82 on the quiz.

Answer:

The number of hours a student should spend on their homework to expect a score of 82 on the quiz.