Tell whether the table represents inverse variation. If so, write the inverse.......

Question

If so, write the inverse variation equation and solve for y when x=40. tell how work supports conclusion 

 

 Travel time (x)     Speed (y)

       36              |         50            |

 

       50              |         36            |

 

       60              |           30          |

 

       75              |         24            |

Answer 1

In inverse variation y = k/x where k is a constant.  Multiplying both sides by x, we get y*x = k.  In other words, the product of x*y is always the same.  Let's try a few points from your table:

 

  x    y      x*y

36   50   1800

 

50   36     ?

 

60   30     ?

 

75   24     ?

 

Complete the final three multiplications.  If they all equal 1800, it is inverse variation; otherwise it isn't.