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WorksheetsAdd Minds Linear Law
Total questions: 6
Worksheet time: 3mins
Name
Class
Date
1.
a)
m=n-1, c=logx
b)
m=n-1, c=logp
c)
m=1-n, c=logy
d)
m=1-n, c=logp
2.
a)
p=1000, n=5/3
b)
p=2, n=8/2
c)
p=0, n=5/3
d)
p=1000, n=8/2
3.
Variable x and y are related by the equation y^2 = p x^q. When the graph log y against log x is drawn, the resulting straight line has a gradient of -2 and an vertical intercept of 0.5 . Calculate the value of p and of q.
a)
p=10, q=-3
b)
p=5, q=1/2
c)
p=10, q=-4
d)
p=5, q=-2
4.
Variable x and y are related by the equation y=c/d-x. When the graph y against xy is drawn the resulting line has gradient 0.25 and an intercept on they-axis of 1.25. Calculate the value of c and of d.
a)
c=5, d=4
b)
c=6, d=2
c)
c=1.5, d=1/4
d)
c=0.75, d=1.67
5.
Reduce non-linear relation, y=p x^n-1, where k and n are constants, to linear equation. State the gradient and vertical intercept for the linear equation obtained.
a)
m=n-2, c=log x
b)
m=n-1, c=log p
c)
m=n-1, c=log y
d)
m=n-2, c=log p
6.
The diagram shows a line of best fit by plotting a graph of y^2 against x^1/2. Find the equation of the line of best fit.
a)
y^3=2x^1/3 / 5+2
b)
y=2x^2 / 4+2
c)
y=2x / 5+6
d)
y^2=2x^1/2 / 5+4
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