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question 1 - 11
the ordered pairs show the number of hours a student studied in a week, x, and that students exam score, y.
(1,70), (3,75), (5,80), (8,95), (12,98)
the equation y = 1.7x+67 can be used to model the relationship between the number of hours a student studied in a week and their exam scores. choose a number from each box to make the statement true.
the y - intercept shows that a student who studies
boxes with options: 0, 1.7, 67, 68.7 hours can expect to get a score of
boxes with options: 0, 1.7, 67, 68.7 on the exam.
Step1: Recall y - intercept concept
The equation of a line is $y = mx + b$, where $b$ is the y - intercept. In the equation $y=1.7x + 67$, the y - intercept is 67. The y - intercept represents the value of $y$ when $x = 0$. Here, $x$ is the number of hours studied and $y$ is the exam score. So when a student studies 0 hours ($x = 0$), substituting $x = 0$ into $y=1.7x + 67$ gives $y=1.7\times0+67=67$.
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The y - intercept shows that a student who studies 0 hours can expect to get a score of 67 on the exam.