WorksheetsDIRECT VARIATION SIMPLE
Total questions: 10
Worksheet time: 10mins
If y varies directly with x, and y = -20 when x = 3, what is y when x = 15?
100
-2.25
2.25
-100
If y varies directly with x, and y = 8 when x = 3, what is x when y = -56?
21
-21
-149.33
149.33
Determine if the relationship between the two quantities is a direct variation. Explain your reasoning.
yes, the constant of variation is 1/2
yes, the constant of variation is 2
no, there is constant of variation.
Determine if there is a constant of variation. If so, explain what it represents.
The equation y = 9.50 x represents the number of dollars y Marty paid for x movie tickets.
The constant of variation is 9.50. This means that Marty paid $9.50 for each movie ticket
There is no constant of variation. There is not a direct variation between the number of tickets and the total cost.
The cost of paper varies directly with the number of reams bought. Suppose 2 reams cost $5.10. Write an equation that could be used to find the cost of x reams of paper.
y= 5.10x
y=2.55x + 2.55
y = 2.55x
2.55y = x
If
a∝b2 , What is the value of the constant of proportion, if a= 100 when b = 10?1
10
100
0.0001
If
p varies directly as q, and p= 27 when q = 9, calculate the value of k. Select all other options that help to answer the question.q=kp
k = 3
k= 3 1
p=kq
c∝a2 select all options that could replace the symbols.
c varies directly as the square of a
c is directly proportional to the square of a
a is proportional to c
c fish square of a
Direct variation is when one variable goes up and the other goes down. True or false
True
False
