Question

nevaehs 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 = 7.4x + 61, 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 a students expected quiz score if they spent no time 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 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. submit answer

Explanation:

Step1: Substitute y - value

We are given the equation $y = 7.4x+61$ and $y = 81$. Substitute $y = 81$ into the equation: $81=7.4x + 61$.

Step2: Solve for x

First, subtract 61 from both sides: $81 - 61=7.4x$, so $20 = 7.4x$. Then divide both sides by 7.4: $x=\frac{20}{7.4}\approx2.7$. In the context of the problem, $x$ represents hours spent on homework. When $y = 81$ (a quiz - score of 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.