Question

chases 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 = 7x + 64 ), where ( y ) represents the expected quiz score and ( x ) represents hours spent on homework that week. what is the meaning of the ( y )-value when ( x = 1 )?
answer
a students expected quiz score if they spent 1 hour on their homework.
a students expected quiz score if they spent 71 hours on their homework.
how many hours a student spends studying all year.
the change in expected quiz score for every additional one hour students spend on their homework.

Explanation:

In the given linear equation \(y = 7x+64\), \(x\) is the independent variable (hours spent on homework) and \(y\) is the dependent variable (expected quiz score). When we substitute a specific value of \(x\) (in this case \(x = 1\)) into the equation, we are finding the corresponding value of \(y\). This is based on the concept of a function, where for each input \(x\) (hours of homework), there is an output \(y\) (quiz score).

Answer:

A student’s expected quiz score if they spent 1 hour on their homework.