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Activities 5

5.1)

Which of these functions are inversely proportional? p(x) = 1000 x f(x) = 4x + 1 3 g(x) = x 2 h(x) = 2 6x

5.2)

Which of these function tables describe inverse proportional functions?

a)

x-values y-values
1 700
2 350
3 233.33
4 175
5 140
6 116.67
7 100
x-values 1 2 3 4 5 6 7
y-values 700 350 233.33 175 140 116.67 100

b)

x-values y-values
1 1200
2 600
3 400
4 320
5 240
6 200
7 150
x-values 1 2 3 4 5 6 7
y-values 1200 600 400 320 240 200 150

c)

x-values y-values
1 10
2 20
3 40
4 80
5 160
6 320
7 640
x-values 1 2 3 4 5 6 7
y-values 10 20 40 80 160 320 640

d)

x-values y-values
1 5
2 2.5
3 1.67
4 1.25
5 1
6 0.83
7 0.714
x-values 1 2 3 4 5 6 7
y-values 5 2.5 1.67 1.25 1 0.83 0.714

5.3)

Which of these graphs show inversely proportional functions?

Curved graph in first quadrant

(a)

Curved graph in first quadrant

(b)

Curved graph in first and second quadrant

(c)

Curved graph in first quadrant

(d)

You can find the solutions here.

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Inversely Proportional Functions
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