WorksheetsDirect, Inverse, Joint, Combined
Total questions: 25
Worksheet time: 58mins
Which table is an example of Inverse Variation?
The data shown in the table is best described as
Inverse Variation
Direct Variation
Neither
Joint Variation
Suppose that x and y vary inversely. Write a function that models each inverse variation if x = 6 when y = 2.
y = 12 / x
y = x / 12
y = 3 / x
y = x / 3
Write a function that models for the following situation; z varies jointly with x and y and inversely with w.
z = (kxy) / w
z = (xy) / w
z = (kx) / yw
z = (k) / xyw
Each pair of values if from a direct variation. Find the missing value.
(4, 10) , (8, y)
20
2.5
5 / 2
5
Each ordered pair is from an inverse variation. Find the constant of variation.
(5, 10)
50
1 / 2
2
25
Fundraising In a bake sale, you recorded the number of muffins sold and the amount of sales in a table as shown.
What is a function that relates the sales and the number of muffins?
s = 2.5m
s = 3m
s = 192m
Direct Variation
Fundraising In a bake sale, you recorded the number of muffins sold and the amount of sales in a table as shown.
How many muffins would you have to sale to make at least $250.00?
83
84
100
192
Painting The number of buckets of paint n needed to paint a fence varies directly with the total area a of the fence and inversely with the amount of paint p in a bucket. It takes three 1-gallon buckets of paint to paint 84 square feet of fence. How many 1-gallon buckets will be needed to paint 120 square feet of fence?
4
36
5
17
Potential Energy On Earth with a gravitational acceleration g, the potential energy stored in an object varies directly with its mass m and its vertical height h.
What is an equation that models the potential energy of a 3-kg skateboard that is sliding down a ramp?
PE = gmh
PE = mh
PE = 3gh
PE = g2h
Potential Energy On Earth with a gravitational acceleration g, the potential energy stored in an object varies directly with its mass m and its vertical height h.
The acceleration due to gravity is g = -9.8 m/s^2. What is the height of the ramp if the 3-kg skateboard has a potential energy of -39.2 kg m^2/s^2?
2
4/3
8
12
Suppose that x and y vary inversely. Write a function that models each inverse variation if x = 10 when y = 5.
y = 50 / x
y = x / 50
y = 2 / x
y = x / 2
Write a function that models for the following situation; z varies inversely with the product of w and y.
z = kwy
z = k / wy
z = yw
z = kw / y
Each pair of values if from a direct variation. Find the missing value.
(2, 6) , (3, y)
9
18
5 / 2
5
Each ordered pair is from an inverse variation. Find the constant of variation.
(3, 9)
27
3
1/3
25
Each pair of values if from a direct variation. Find the missing value.
(2, 6) , (x, 6)
9
18
5 / 2
2
The time required to process a shipment of goods at Wal-Mart varies directly with the number of items in the
shipment and inversely with the number of workers assigned. If 15,000 items can be processed by 8 workers in 10 hours, then how long would it take 12 workers to process 20,000 items?
6.5 hours
7.75 hours
8.9 hours
10.2 hours
xy=8
Which equation represents an inverse variation?
y=−3x+5
y=−2x
y=8x
y=x8
