Question

zendayas 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 = 7.6x + 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 = 100 )?
answer
the number of hours a student should spend on their homework to expect a score of 100 on the quiz.
a students expected quiz score if they spent no time on their homework.
a students expected quiz score if they spent 100 hours on their homework.
the change in expected quiz score for every additional one hour students spend on their homework.
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Explanation:

In the given linear equation \(y = 7.6x+60\), \(y\) is the quiz score (dependent variable) and \(x\) is the hours spent on homework (independent variable). When we set \(y = 100\) and solve for \(x\), we are essentially finding the value of the independent variable (\(x\)) that corresponds to a particular value of the dependent variable (\(y = 100\)). Since \(x\) represents hours spent on homework, solving for \(x\) when \(y = 100\) gives the number of hours a student should spend on homework to get a score of 100.

Answer:

The number of hours a student should spend on their homework to expect a score of 100 on the quiz.