Learning Objective:
Students will analyze and solve systems of equations to determine the intersection points of linear relationships in real-world scenarios.
Identify systems of equations in real-world problems and represent them mathematically.
Graph linear equations on a coordinate plane to visualize their intersection points.
Explain the significance of the intersection points in the context of the given real-world scenario.
Taylor, a TikTok influencer, is working on a brand deal with a clothing company. They get paid two ways:
$50 upfront for signing the deal.
$200 per sponsored post they create.
Their friend Alex, another influencer, has a deal with a different company and gets no upfront payment but earns $250 per sponsored post.
Create a table to represent the the earning($) for both friends.
Create a graph to represent the the earning($) for both friends.
At what number of sponsored posts (x) will their total earnings (y) be equal?
Answer using a complete sentence.
For example:
y=2x+1
y=−x+4
These two equations form a system. Solving it means finding the values (numbers) of x and y that work for both equations.
Think of it as finding a common solution where the rules (equations) agree.
If you graph the equations, the solution is usually where their lines intersect (cross each other).
Today I learned....
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