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 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 1 hour on their homework. how many hours a student spends studying all year.

Explanation:

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

Given the equation \(y=7.3x + 61\), when \(x = 1\), we calculate \(y\) as follows:
\(y=7.3\times1+61\)

Step2: Calculate the value of \(y\)

\(y = 7.3+61=68.3\). Since \(x\) represents hours spent on homework and \(y\) represents the expected quiz score, when \(x = 1\) (1 hour of homework), \(y\) gives the expected quiz score for that case.

Answer:

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