Question

tamika’s math teacher plots student grades on their weekly quizzes against the number of hours they say they study on the pair of coordinate axes and then draws the line of best fit. what is the meaning of the x-value on the line when y = 100? chart: y - axis labeled quiz score, x - axis labeled time spent on homework per week (hours) answer options: a student’s expected quiz score if they spent 100 hours on their homework. a student’s actual quiz score after spending 100 hours on their homework. the number of hours a student actually spent on homework before earning a score of 100 on the quiz. the number of hours a student should spend on their homework to expect a score of 100 on the quiz.

Explanation:

1. First, understand the axes: The x - axis represents "Time Spent on Homework per Week (hours)" and the y - axis represents "Quiz Score".
2. The line of best fit is a model that predicts the relationship between study time (x) and quiz score (y). When we look at the x - value on the line when y = 100, we are looking at the input (study time) that the model predicts will lead to an output (quiz score) of 100.
3. Analyze the options:

• Option 1: Talks about expected score when x = 100, but we want x when y = 100, so this is incorrect.
• Option 2: Talks about actual hours spent before getting a score of 100, but the line of best fit is a prediction, not about actual past hours, so this is incorrect.
• Option 3: Talks about actual score after spending x hours, but we are finding x for a given y (predicted), so this is incorrect.
• Option 4: The line of best fit is used to predict the study time (x) needed to expect a certain quiz score (y = 100). So this option correctly describes the meaning of the x - value on the line when y = 100.

Answer:

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