Sudhanshu is solving a system representing a race between two remote control cars. The variable x is defined as time in seconds, and y is th

Question

Sudhanshu is solving a system representing a race between two remote control cars. The variable x is defined as time in seconds, and y is the distance in meters from the starting line.

Red car: y = 3 x + 5. Blue car: y = 4 x.

How many solutions should Sudhanshu find?
zero
one
two
infinite

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Đan Thu 4 years 2021-07-21T09:43:01+00:00 1 Answers 67 views 0

Answers ( )

  1. Nick
    0
    2021-07-21T09:44:11+00:00
    Reply

    Answer:

    One

    General Formulas and Concepts:

    Algebra I

    Slope-Intercept Form: y = mx + b

    • m – slope
    • b – y-intercept

    Solving systems of equations

    Step-by-step explanation:

    Step 1: Define

    Identify systems

    y = 3x + 5

    y = 4x

    Step 2: Solve

    If we compare the 2 lines, we can see that they both have a different slope. If they had the same slope but different y-intercepts, then they would be parallel and have no solution. We can also see that the 2 lines aren’t the same. If they were, then they would have infinite solutions.

    ∴ the systems should have only one solution.

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