Big Ideas Math Integrated I, 2016
BI
Big Ideas Math Integrated I, 2016 View details
3. Writing Equations of Parallel and Perpendicular Lines
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Exercise 32 Page 182

Practice makes perfect
a The initial registration fee is paid at the beginning, when 0 months have passed. This is the y-intercept of the graph.

We can see above that the y-intercept of the line corresponding to Student B is greater than the one of Student A. This means that Student B paid a higher registration fee.

b A monthly fee is a consistent payment made every month. On the graph, this is represented by the slope of the line. A greater monthly fee means a greater slope and vice versa. We are told that the lines are parallel, which means they have the same slope.
m_A=m_B Therefore, both students pay the same monthly fee.