Solutions

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Activities 1

1.1)


$x$ -values	$0$	$1$	$2$	$3$	$4$	$5$	$6$

$y$ -values	$5$	$6$	$7$	$8$	$9$	$10$	$11$


$x$ -values	$0$	$1$	$2$	$3$	$4$	$5$	$6$

$y$ -values	$1$	$4$	$7$	$10$	$13$	$16$	$19$


$x$ -values	$0$	$1$	$2$	$3$	$4$	$5$	$6$

$y$ -values	$8$	$6$	$4$	$2$	$0$	$- 2$	$- 4$


$x$ -values	$0$	$1$	$2$	$3$	$4$	$5$	$6$

$y$ -values	$- 4$	$6$	$16$	$26$	$36$	$46$	$56$

1.2)


$x$ -values	$- 3$	$- 2$	$- 1$	$0$	$1$	$2$	$3$

$y$ -values	$- 6$	$- 4$	$- 2$	$0$	$2$	$4$	$6$


$x$ -values	$- 3$	$- 2$	$- 1$	$0$	$1$	$2$	$3$

$y$ -values	$13$	$12$	$11$	$10$	$9$	$8$	$7$


$x$ -values	$y$ -values

-3	-17

-2	-13

-1	-9

0	-5

1	-1

2	3

3	7


$x$ -values	$- 3$	$- 2$	$- 1$	$0$	$1$	$2$	$3$

$y$ -values	$- 17$	$- 13$	$- 9$	$- 5$	$- 1$	$3$	$7$


$x$ -values	$y$ -values

-3	-20

-2	-12

-1	-4

0	4

1	12

2	20

3	28


$x$ -values	$- 3$	$- 2$	$- 1$	$0$	$1$	$2$	$3$

$y$ -values	$- 20$	$- 12$	$- 4$	$4$	$12$	$20$	$28$

1.3)

Graph of f(x)=x+5 going from x=0 to x=6

(a)

Graph of g(x)=3x+1 going from x=0 to x=6

(b)

Graph of h(x)=-2x+8 going from x=0 to x=6

(c)

Graph of i(x)=10x-4 going from x=0 to x=6

(d)

1.4)

Graph of f(x)=2x going from x=-3 to x=3

(a)

Graph of g(x)=-x+10 going from x=-3 to x=3

(b)

Graph of h(x)=4x-9/2 going from x=-3 to x=3

(c)

Graph of i(x)=8x+4 going from x=-3 to x=3

(d)

Activities 2

2.1)

a): $a = 2$ , $b = 1$ , $f (x) = 2 x + 1$
b): $a = 2$ , $b = 0$ , $f (x) = 2 x$
c): $a = 3$ , $b = 3$ , $f (x) = 3 x + 3$
d): $a = 1$ , $b = 10$ , $f (x) = x + 10$

2.2)

a): $a = 2$ , $b = 10$ , $f (x) = 2 x + 10$
b): $a = - 4$ , $b = 10$ , $f (x) = - 4 x + 10$
c): $a = - 3$ , $b = 9$ , $f (x) = - 3 x + 9$
d): $a = - 1$ , $b = 32$ , $f (x) = - x + 32$

Activities 3

3.1)

a): $y = 4 x + 2$
b): $y = 3 x - 2$
c): $y = - 2 x + 3$
d): $y = - x - 4$

a): $y = 4 x + 2$
b): $y = 3 x - 2$
c): $y = - 2 x + 3$
d): $y = - x - 4$

3.2)

a): $y = 1.5 x + 3$
b): $y = - 2 x + 3.5$
c): $y = 3.5 x + 1$
d): $y = - 3 x + 0.5$

a): $y = 1.5 x + 3$
b): $y = - 2 x + 3.5$
c): $y = 3.5 x + 1$
d): $y = - 3 x + 0.5$

Activities 4

4.1)

f (x)

and

h (x)

4.2)

Only (b) is proportional,

y = 4 x

4.3)

Graph (a) is a proportional function,

f (x) = 5 x

Activities 5

5.1)

p (x)

(k = 1000)

and

h (x)

(k = \frac{1}{3})

5.2)

Tables a) and d) are inversely proportional

5.3)

All the graphs except (c) are inversely proportional

Activities 6

6.1)

You choose Taxi King. Then you pay $

25

for the trip, while City Taxi would have costed $

40

6.2)

a): $ $420$
b): 21 friends went on the trip.

a): $ $420$
b): 21 friends went on the trip.

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Activities 6

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