WorksheetsDirect and Inverse Proportion
Total questions: 20
Worksheet time: 20mins
The number of hours to paint a house varies inversely with the number of painters working. A 2400-square foot house can be painted in 27 hours by 6 painters. How many painters would need to work in order to paint the house in 18 hours?
8 painters
10 painters
9 painters
11 painters
The amount of money earned on a job is directly proportional to the number of hours worked. If $70.00 is earned in 5 hours, how much money is earned in 22 hours of work?
$2
$308
$1.57
$265
What type of variation does this scenario represent?
The length of time you charge your cell phone
and the battery power
direct variation
inverse variation
joint variation
none of these
Write an equation for this relationship.
y=18x
y=18.50x
y=22.50x
y=22x
The interest received on a savings account varies directly with the amount deposited. Daniel received $55.35 in interest on $1230 he deposited. How much interest would Daniel have received if he had deposited $2000 into his account?
34.04
90.00
1,285.35
44,444.44
Y varies directly with x, and y is 84 when x is 16. Which equation represents this situation?
y=1344x
y=100x
y=5.25x
y=4/21x
Y is directly proportional to the square of z and inversely proportional to w.
y=kz2/w
y=kz/w
y=w/kz2
y=w/kz
Determine the type of variation:
Direct
Inverse
Neither
Write a direct proportion equation for the graph
y=2x
y=24x
y=4x
y=16x
A person’s weekly pay is directly proportional to the number of hours worked. Shawn’s pay is $123.00 for 20 hours of work. What is the constant of variation?
k = 123
k = 20
k = 6.15
k = 0.16
After the concert, it took 5 people 56 minutes to clean the first section of seating. How long will it take 7 people to clean the first section of seating?
20 minutes
40 minutes
720 minutes
280 minutes
Determine the type of variation
y=x2k
Direct
Inverse
niether
Write an equation for this relationship.
y=18x
y=18.50x
y=22.50x
y=22x
What type of variation does this scenario represent?
The outside temperature
and the number of layers of clothes you need to wear outside to feel comfortable
direct variation
inverse variation
joint variation
none of these
The width of a rectangle varies inversely with its length. if the width is 4 when the length is 18, find the width when the length is 8.
9
72
36
2
The number of kilograms of water in a person’s body varies directly as the person’s mass. A person with a mass of 90 kg contains 60 kg of water. How many kilograms of water are in a person whose mass is 75 kg?
50 kg water
72 kg water
94 kg water
150 kg water
2.The amount of money spent at the gas station varies directly with the number of gallons purchased. When 9.5 gallons of gas were purchased the cost was $36.52. How much would 12 gallons of gas cost?
Direct Variation
Inverse Variation
The number of pencils sold varies directly as the cost. If 5 pencils cost $0.45, find the cost of 7 pencils.
Direct Variation
Inverse Variation
The time needed to travel a certain distance varies inversely with the rate of speed. If it takes 6 hours to travel a certain distance at 40 miles per hour, how long will it take to travel the same distance at 55 miles per hour?
Direct Variation
Inverse Variation
