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For a given distance, the required time t varies inversely as the rate r. If t=6 when r = 45, find r when t = 4 1

Sagot :

NataleighScottlynidn

Problem:

For a given distance, the required time t varies inversely as the rate r. If t = 6 when r = 45, find r when t = 41.

Solution:

A inverse variation is a relationship between two variables, t and r, that can be written as t = k/r where k ≠ 0.

k is the constant of variation that relates the two variables. Now, write an equation of a inverse variation.

  • t = k/r

Solve if t is 6 and r is 45. So, find the constant.

  • t = k/r
  • 6 = k/45
  • k = 270

The constant of the variation is 270. Find r if t is 41.

  • t = k/r
  • 41 = 270/r
  • 41r/41 = 270/41
  • r = 270/41
  • r = 6.59

Answer:

∴ The value of r is 6.49.

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