Question

zendayas 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 = 7.6x + 60 ), where ( y ) represents the expected quiz score and ( x ) represents hours spent on homework that week. what is the meaning of the ( x )-value when ( y = 100 )?
answer
the number of hours a student should spend on their homework to expect a score of 100 on the quiz.
a student’s expected quiz score if they spent no time on their homework.
a student’s expected quiz score if they spent 100 hours on their homework.
the change in expected quiz score for every additional one hour students spend on their homework.

Explanation:

Step1: Understand the equation

The equation is \( y = 7.6x + 60 \), where \( y \) is the quiz score and \( x \) is hours spent on homework. We need to find the meaning of \( x \) when \( y = 100 \).

Step2: Analyze the options

• Option 1: "The number of hours a student should spend on their homework to expect a score of 100 on the quiz." This matches because we're finding \( x \) (hours) when \( y \) (score) is 100.
• Option 2: This is the y-intercept (when \( x = 0 \)), not related to \( y = 100 \).
• Option 3: This would be when \( x = 100 \), not \( y = 100 \).
• Option 4: This is the slope (7.6), not related to \( y = 100 \).

Answer:

The number of hours a student should spend on their homework to expect a score of 100 on the quiz.