Question

carloss 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 = 7.3x + 61 ), 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 student’s 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 student’s expected quiz score if they spent 1 hour on their homework.
how many hours a student spends studying all year.

Explanation:

The equation \( y = 7.3x + 61 \) models the relationship between hours spent on homework (\( x \)) and expected quiz score (\( y \)). When \( x = 1 \), we substitute \( x \) into the equation to find \( y \), which represents the expected quiz score for a student who spent 1 hour on homework. The first option describes \( x = 0 \) (y - intercept), the second describes the slope, and the fourth is irrelevant to the equation's context. So the correct meaning is a student's expected quiz score if they spent 1 hour on their homework.

Answer:

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