Math Problem Statement
Solution
The equation provided is:
Here, represents the expected quiz score, and represents the number of hours spent on homework.
To find the meaning of the -value when , we substitute into the equation:
This means that when a student spends 1 hour on homework, their expected quiz score is 67.
Now, looking at the choices in the image:
- The correct answer is the option that states "A student's expected quiz score if they spent 1 hour on their homework."
Would you like further details on how this equation works, or clarification on how linear relationships are interpreted?
Here are 5 related questions:
- What would the expected quiz score be if a student spent 2 hours on their homework?
- How does the quiz score change as more hours are spent on homework, according to this linear equation?
- What is the meaning of the -intercept in this context?
- If a student spent no time on their homework, what would their expected quiz score be?
- How would you interpret the slope of the equation in the context of studying time and quiz scores?
Tip: In a linear equation like , the slope (7 in this case) represents the rate of change of the quiz score with respect to the time spent on homework.
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Math Problem Analysis
Mathematical Concepts
Linear equations
Slope and y-intercept
Algebra
Formulas
y = 7x + 60
Theorems
Linear relationship between two variables
Suitable Grade Level
Grades 6-8