An amusement park has two new rollercoasters. The number of people in line to ride each rollercoaster, P, varies depending on the time, t, in hours since the park opened. The length of the rollercoaster lines for any given time is modeled by the following system of linear equations. [P = 6t + 4 [P= 10t Solve the system of equations graphically. How long after the amusement park opens will there be an equal number of people in each rollercoaster line? How many people are in each line when the two lines are equal? Explain your answer, providing calculations, drawings, or any other strategy that will support your reasoning.

An amusement park has two new rollercoasters. The number of people in line to ride each rollercoaster, P, varies depending on the time, t, in hours since the park opened. The length of the rollercoaster lines for any given time is modeled by the following system of linear equations. [P = 6t + 4 [P= 10t Solve the system of equations graphically. How long after the amusement park opens will there be an equal number of people in each rollercoaster line? How many people are in each line when the two lines are equal? Explain your answer, providing calculations, drawings, or any other strategy that will support your reasoning.

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

An amusement park has two new rollercoasters. The number of people in line to ride each
rollercoaster, P, varies depending on the time, t, in hours since the park opened. The length of
the rollercoaster lines for any given time is modeled by the following system of linear equations.
[P = 6t + 4
(P = 10t
Solve the system of equations graphically. How long after the amusement park opens will
there be an equal number of people in each rollercoaster line? How many people are in
each line when the two lines are equal?
Explain your answer, providing calculations, drawings, or any other strategy that will
support your reasoning.

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