Question

ians 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 = 60 + 6.9x, 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 = 83? answer a students expected quiz score if they spent no time on their homework. the number of hours a student should spend on their homework to expect a score of 83 on the quiz. a students expected quiz score if they spent 83 hours on their homework. how many hours a student spends studying all year.

Explanation:

Step1: Substitute y - value

We are given the equation $y = 60+6.9x$ and $y = 83$. Substitute $y = 83$ into the equation: $83=60 + 6.9x$.

Step2: Solve for x

First, subtract 60 from both sides: $83 - 60=6.9x$, so $23 = 6.9x$. Then divide both sides by 6.9 to get $x=\frac{23}{6.9}\approx3.33$. Here, $x$ represents the number of hours a student spends on homework. In the context of the problem, when $y = 83$, $x$ is the number of hours a student should spend on their homework to expect a score of 83 on the quiz.

Answer:

The number of hours a student should spend on their homework to expect a score of 83 on the quiz.