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Activities 5

5.1)

Which of these functions are inversely proportional?

\begin{array}{l} p (x) & = \frac{1000}{x} \\ f (x) & = \frac{4 x + 1}{3} \\ g (x) & = \frac{x}{2} \\ h (x) & = \frac{2}{6 x} \end{array}

5.2)

Which of these function tables describe inversely 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

Functions from Text