Mathematical Statement
The acceleration (a) of a car is inversely proportional to its mass
a= k/m
If x and y vary inversely, as x decreases, what happens to the value of y?
y - decreases
Find the Constant: x: 2, 7, 10 y: 35, 10, 7
K=70
If 32 men can reap a field in 15 days, in how many days can 20 men reap the same field?
24 days
F(x)= 2x When x: 1, 2, 3
y: 2, 4, 6
The cost (c) per person of renting a private resort varies inversely as the number (n) of persons sharing the rent
C= k/n
The cost of a $100 wedding gift is being split between multiple people. Create a table when x: 3, 4, 5
y: 33.33, 25, 20
Find the Constant: x: 1.2, 1.5, 2.4 y: 5, 4, 2.5
K=6
12 men can dig a pond in 8 days. How many men can dig it in 6 days?
16 men
f(x)= 3x - 2 When x: 1, 2, 3
y: 1, 4, 7
m varies inversely with the square of n
M=k/n2
Find the missing variable in this inverse variation (4,28) and (3, p)
p=37.33
Find the Constant: x: 2 y:4.2
k =8.4
A hostel has enough food for 125 students for 16 days. How long will the food last if 75 more students join them?
10 days
The number of persons (n) needed to do a job varies inversely as the number of days (d) to finish the job
N=k/d
Find the missing variable in this inverse variation (3/4,y) and (2/3,18)
y=16
Find the Constant: x: 2, 8, 16 y: 9, 36, 72
k=4.5
If 30 labourers working 7 hours a day can finish a piece of work in 18 days, how many labourers working 6 hours a day can finish it in 30 days?
21 laborers
The density (d) of air varies inversely as the volume (v) of water in the atmosphere
D= k/v
Find the missing variable in this inverse variation. (12,6) and (f,8)
f= 9
Find the Constant: x: 0, 2, 4, 6 y: 3, 5, 7, 9
There is no constant, this is not direct or inverse variation.
If 18 binders can bind 900 books in 10 days, how many binders will be required to bind 660 books in 12 days?
11 binders
f(x)= -|x| - 1 When x: -2, -1, 0, 1
y: -3, -2, -1, -2