# Activities 5

## 5.1)

Which of these functions are inversely proportional? $\begin{array}{llll}\hfill p\left(x\right)& =\frac{1000}{x}\phantom{\rule{2em}{0ex}}& \hfill & \phantom{\rule{2em}{0ex}}\\ \hfill f\left(x\right)& =\frac{4x+1}{3}\phantom{\rule{2em}{0ex}}& \hfill & \phantom{\rule{2em}{0ex}}\\ \hfill g\left(x\right)& =\frac{x}{2}\phantom{\rule{2em}{0ex}}& \hfill & \phantom{\rule{2em}{0ex}}\\ \hfill h\left(x\right)& =\frac{2}{6x}\phantom{\rule{2em}{0ex}}& \hfill & \phantom{\rule{2em}{0ex}}\end{array}$

## 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?

You can find the solutions here.