Question

how to solve problems of variations

Answer 1

any particular question ?

Answer 2

the amount of perol p liters that a car consumes varies directly as the distance d km traveled.if a car can travel 100 km on 8 liters,how far can it go with 30 liters of petrol?

Answer 3

x directly varies y means \(\Large x=ky\)

Answer 4

so, here we have ,
\(\Large p=kd\)
where k is the constant of variation, got this /?

Answer 5

.if a car can travel 100 km on 8 liters <----means p=8 , d=100
can you first find k from this info ?

Answer 6

no ?
8 = 100 k
k= ... ?

Answer 7

how to start the answer

Answer 8

like this,
for direct variation,
p=kd

when p=8, d=100
so,
8=k*100
so, k=...

can u continue ?

Answer 9

not really

Answer 10

\[8*10\]

Answer 11

8 =k*100
k = 8/100 = 2/25

Answer 12

so, we have p=(2/25)d
now put here p=30 and try to find d

Answer 13

how does it comes 2/25

Answer 14

8 = 4*2
and 100 = 4*25

Answer 15

the 4's get cancelled

Answer 16

now need to find d

Answer 17

any idea to find d

Answer 18

why don't u try first ?

Answer 19

p=(2/25)d
now put here p=30 and try to find d

Answer 20

30*8

Answer 21

i will suggest you to practice alot! you lack basic algebraic simplification ability...

Answer 22

p=(2/25)d
30=(2/25)d
d = 30 *25/2 = ...

Answer 23

375

Answer 24

yup, d= 375

Answer 25

thx alot

Answer 26

welcome ^_^

Answer 27

any tips to learn this kind of questions?

Answer 28

take same types of questions and solve.

Answer 29

thx