Comparing Inverse Variation Functions

The number of pizza slices 𝒑 varies inversely as the number of persons 𝒏 sharing a whole pizza.

• k= p/n

• p= n/k

• p=k/n

• k= n/p

The number of pechay plants 𝒏 in a row varies inversely as the space 𝒔 between them.

• n= k/s

• k= s/n

• n= s/k

• s= k/n

The number of persons 𝒏 needed to do a job varies inversely as the number of days 𝒅 to finish the job.

• n= d/k

• d= k/n

• k= n/d

• n= k/d

The rate 𝒓 at which a person types certain manuscript varies inversely as the time 𝒕 spent in typing.

• t= k/r

• k= r/t

• r= k/t

• r= t/k

The cost 𝒄 per person of renting a private resort varies inversely as the number 𝒏 of persons sharing the rent.

• n= c/k

• c= k/n

• c= n/k

• n= k/c

If p varies inversely as th square of q and p= 3 when q= 4, find p when q=16.

• p= 1/4

• p= 1/2

• p= 3/4

• p= 3/2

If y varies inversely as x and y= -2 when x= -8, find x when y=2.

• x= 5

• x= 6

• x= 7

• x= 8

If w varies inversely as y and w= 2 when y= 3, find w when y=6.

• w= 1

• w= 2

• w= 3

• w= 4

If m varies inversely as n and m= 8 when n= 3, find m when n= 12.

• m= 1

• m= 2

• m= 3

• m= 4

If a varies inversely as b and a= 12 when b= 8, find a when b=6.

• a= 13

• a= 14

• a= 15

• a= 16