Mathematics

Question

Let y=3t+6 be a linear function representing the distance from home for an ant t minutes after starting out from a location near its home. What does the number 6 represent in this function?

2 Answer

  • The format that this fits in is y=mx+b where m=slope and b=y intercept.  So 6 is the y-intercept.

    Hope this helps.
  • Answer:

    Here 6 represents the initial distance of the ant from the home.

    ( i.e. initially when t=0 the ant was at a distance of 6 units from the home )

    Step-by-step explanation:

    The linear function which represents the distance from home for an ant  t minutes after starting out from a location near its home is given by:

          y=3t+6

    We know that for any linear function of the type:

     y=mx+c

    m represents the slope and c represents the y-intercept of the function.

    i.e. m represents the per unit change and c represent the initial value i.e. when t=0

    Here we have: c=6

    i.e. it represents the initial distance of the ant from the home.

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