direct or inverse variations
Quiz
•
Mathematics
•
10th Grade
•
Practice Problem
•
Hard
Lee Kok Ming HS Teacher
FREE Resource
Enhance your content in a minute
11 questions
Show all answers
1.
FILL IN THE BLANK QUESTION
3 mins • 1 pt
When x = 2, y = 12. Find the value of y when x = 4 if
y varies directly as x2
Answer explanation
y = kx2
With the given (2,12) we find k
12 = k(22)
k = 12/4
k = 3
so y = 3x2
Then y = 3(42)
y = 3(16)
y = 48.
2.
FILL IN THE BLANK QUESTION
1 min • 1 pt
When x = 2, y = 12. Find the value of y when x = 4 if
y varies inversely as x.
Answer explanation
y = k/x
We use the given (2,12) to find k
k = xy
k = 2(12)
k = 24.
So y = 24/x
then y = 24/4
y = 6.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
y = 24 when x = 5. Find the value of x when y = 2 if
y varies directly as x.
24/5
48/5
5/12
10/12
Answer explanation
y =kx
We use the given (5,24) to find k.
k = y/x
k = 24/5 ---- keep the fraction for accuracy purpose
y = (24/5)x
Find x when y =2.
x = 5y/24
x = 5(2)/24
x = 5/12
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
y = 24 when x = 5. Find the value of x when y = 2 if
y varies inversely as x3.
3000
1500
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
x=1, y=1
x=2, y = 8
x=3, y =27
x=4, y =64
The values are part of a function where
y varies directly as x
y varies directly as x3
y varies inversely as x
y varies inversely as x3
Answer explanation
Notice that
13=1
23=8
33=27
43=64
so y varies directly as x3.
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
x=-2, y=20
x=0, y = 0
x=3, y =45
x=4, y =80
Find the proportional constant k in y = kx2.
5
-5
1/5
-1/5
Answer explanation
k = y/x2
Let us check with (-2,20)
k = 20/4
k = 5
check with (3,45)
k = 45/9
k = 5
check with (4,80)
k = 80/16
k = 5
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
x=-2, y=20
x=0, y = 0
x=3, y =45
x=4, y =80
These values are from a function where
y varies directly with x
y varies directly with x2
y varies inversely with x2
y varies inversely with x3
Answer explanation
k = y/x2
Let us check with (-2,20)
k = 20/4
k = 5
check with (3,45)
k = 45/9
k = 5
check with (4,80)
k = 80/16
k = 5
So y = 5x2 so y varies direcly with x2
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