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The equation provided is:

\[
y = 7x + 60
\]

Here, \( y \) represents the expected quiz score, and \( x \) represents the number of hours spent on homework.

To find the meaning of the \( y \)-value when \( x = 1 \), we substitute \( x = 1 \) into the equation:

\[
y = 7(1) + 60 = 7 + 60 = 67
\]

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:
1. What would the expected quiz score be if a student spent 2 hours on their homework?
2. How does the quiz score change as more hours are spent on homework, according to this linear equation?
3. What is the meaning of the \( y \)-intercept in this context?
4. If a student spent no time on their homework, what would their expected quiz score be?
5. How would you interpret the slope of the equation in the context of studying time and quiz scores?

**Tip**: In a linear equation like \( y = 7x + 60 \), the slope (7 in this case) represents the rate of change of the quiz score with respect to the time spent on homework.

Bilquis's math teacher finds that there's 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 + 60, 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?

Learn how to interpret a linear equation y = 7x + 60 that represents the relationship between homework hours and quiz scores. This problem helps students understand the slope, y-intercept, and what happens when x = 1. Suitable for students in Grades 6-8.

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