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Section 4.5: Variation Flashcards | StudBud
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Section 4.5: Variation
Section 4.5: Variation
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1
What is the Force need to stretch the spring 15 inches?
1.125
12
20
9
2
The distance that a spring will stretch varies directly with as the force is applied to the string.
I need Force, distance, and constant of variation.
I need one of these: Force, distance, and constant of variation.
I need two of these: Force, distance, and constant of variation.
3
y varies directly with x
2
such that k=6. Find y when x=5.
25
30
750
150
4
If a force of 12 lbs is needed to make it stretch 9 in, how do I find k?
I need to know how strong the spring is.
9 = k*12, solve for k.
I need to look up the k in a physics book.
12 = k*9, solve for k.
5
If 9 = k*12, what is k
1.3333
108
1.25
0.75
6
What is
not
an example of direct variation?
The amount of water used is based on the time in the shower.
Miles run at a constant rate for any time.
You only pay $25 a month for membership.
You pay $20 for membership and $15 per month.
7
y varies inversely with x
2
. If y=24 when x=2, find k
12
48
96
6
8
y varies inversely with x
2
such that k=96. Find y when x=5
150
3.84
24
480
9
If k = 0.75, then the equation for this spring is....
Force = 0.75* Distance
Distance = 0.75* Force
0.75 = Force*Distance
10
Solve for k: 240=k/30
k=80
k=720
k=7200
k=800
11
y varies directly as x and inversely as the square of z. If y=20, x=50, and z=5, find k
10
4
100
40
12
Translate: The distance that a spring will stretch varies directly with as the force is applied to the string.
Force = k*DIstance
k = Distance *Force
Distance = k*Force
13
y varies directly as x and inversely as the square of z. If k= 10, find y when x=3 and z=6.
180
15
5
\frac{5}{6}
14
Translate: The volume V of a gas varies inversely as the pressure P on it.
V=\frac{k}{P}
V=kP
P=\frac{k}{V}
P=kV
15
Translate: y varies inversely with x
2
y=kx
y=\frac{k}{x^2}
y=\frac{k}{x}
y=kx2
16
y varies directly with x
2
. If y=24 when x=2, find k
6
48
96
12
17
What does direct variation mean?
One quantity changes indirectly as another quantity changes.
One quantity changes directly as another quantity changes.
18
What is an equation that models direct variation?
y = mx + b
y = a*bx
y = kx
y = \frac{k}{x}
19
The volume is 240 cm3 under pressure of 30 kg/cm2. Find k.
30=\frac{k}{240}
240=\frac{k}{30}
30=240k
240=30k
20
Translate: y varies directly with x
2
.
y=kx
y=kx^2
y=\frac{k}{x}
y=\frac{k}{x^2}
21
What equation models indirect variation?
centemeters = 2.54(inches)
Time depends on rate and the distance.
Distance depends on the rate and the time.
A = πr2
22
What is the k in y = kx?
Kepler's Laws
Potassium
Constant of variation
Kellogg's Frosted Flakes
23
Direct variation situations can involve higher powers?
False
True
24
Translate: y varies directly as x and inversely as the square of z.
y=\frac{k}{xz}
y=\frac{k}{xz^2}
y=\frac{kx}{z^2}
y=\frac{kx}{z}
