Question

question
guadalupes 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 = 60 + 6.4x ), where ( y ) represents the expected quiz score and ( x ) represents hours spent on homework that week. what could the number 60 represent in the equation?
answer
a students expected quiz score if they
spent 1 hour on their homework.
how many hours a student spends
studying all year.
a students expected quiz score if they
spent 66.4 hours on their homework.
a students expected quiz score if they
spent no time on their homework.

Explanation:

Step1: Analyze the linear equation \(y = 60+6.4x\)

In a linear equation of the form \(y = mx + b\) (where \(m\) is the slope and \(b\) is the \(y -\)intercept), when \(x = 0\), \(y=b\).

Step2: Interpret the value when \(x = 0\)

Here, \(x\) represents the number of hours spent on homework. When \(x = 0\) (i.e., a student spent no time on their homework), \(y=60 + 6.4\times0=60\).

Answer:

A student's expected quiz score if they spent no time on their homework.