SOLUTION: Write the equation of variation . The cost of a train ticket varies directly with the number of kilometers travelled. Ifa ticket for a 140-kilometers trip cost php 84, how mmuch w

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: Write the equation of variation . The cost of a train ticket varies directly with the number of kilometers travelled. Ifa ticket for a 140-kilometers trip cost php 84, how mmuch w      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 914334: Write the equation of variation .
The cost of a train ticket varies directly with the number of kilometers travelled. Ifa ticket for a 140-kilometers trip cost php 84, how mmuch would a 320-kilometer trip cost?

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Let p be constant of proportionality (meaning in this case, price)
let c be cost of a trip
let d be distance of a trip

The direct variation description gives c=pd, for c varies directly with d.

Now, your values given are supposed to mean, 84=p%2A140, which allows you to find p.
p=84%2F140
highlight_green%28p=0.6%29, Php per kilometer

The more specific equation is now c=%280.60%29d.
If d=320, then highlight%28c=%280.60%29%28320%29=highlight%28192%29%29 Php.

Problem question written more clearly than your other posting.