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:

Step1: Substitute \(x = 1\) into the equation

Given the equation \(y=7x + 64\), when \(x = 1\), we have \(y=7\times1+64\).

Step2: Calculate the value of \(y\)

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Here, \(x\) represents hours spent on homework in a week and \(y\) represents the expected quiz score. So when \(x = 1\) (1 hour of homework in a week), \(y\) (the value we calculated) is the expected quiz score.

Answer:

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