Equation of Variation
Find "k"
Solve for the Variable
Word Problems
100

Write an equation where y varies directly as x.

            y = 28 when x = 7

y = 4x

100

Find the constant of variation k when a varies directly with b.       

a = 48 when b = 6

 


k = 8

100

y varies directly as x. Find the values as indicated:

    If y = 9 when x = 3, find y when x = 12


y = 36

100

Write an equation for this situation:

The time (t) it takes to hear thunder varies directly with the distance(d) from lightning.


t = kd

200

Write an equation where y varies directly as x.

   y = 30 when x = 12

y = 5/2x

200

Find the constant of variation k when a varies directly with b.       

  a = 7 when b = 6

k = 7/6

200

y varies directly as x. Find the values as indicated:

 If y = -18 when x = 9, find y when x = 7

y = -14

200

Write an equation for this situation:

The amount of money (m) earned by the construction worker varies directly with the number of hours (h) that they work.

m = kh

300

Write an equation where y varies directly as x.

 y = 400 when x = 25

y=16x

300

Find the constant of variation k when a varies directly with b.       

a = 200 when b = 300

k = 2/3

300

y varies directly as x. Find the values as indicated:

If y = -3 when x = -4, find x when y = 12

x = 16

300

The cost of printing 100 pages is 50pesos. What will be the cost of printing 150 pages?

75 pesos

400

Write an equation where y varies directly as x.

 y = 12 when x = .5

y = 24x

400

Find the constant of variation k when a varies directly with b.       

a = 32 when b = 18

k = 16/9

400

y varies directly as x. Find the values as indicated:

If y = 6 when x = 9, find x when y = 12

x = 18

400

If a car covers 240 miles in 4 hours time. How many miles will it travel in 6 hours?

360 miles