Solutions

Activities 1

1.1)

a)

b)

c)

d)

1.2)

a)

b)

c)

d)

1.3)

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1.4)

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Activities 2

2.1)

a)

$a=2$, $b=1$, $f(x)=2x+1$

b)

$a=2$, $b=0$, $f(x)=2x$

c)

$a=3$, $b=3$, $f(x)=3x+3$

d)

$a=1$, $b=10$, $f(x)=x+10$

2.2)

a)

$a=2$, $b=10$, $f(x)=2x+10$

b)

$a=-4$, $b=10$, $f(x)=-4x+10$

c)

$a=-3$, $b=9$, $f(x)=-3x+9$

d)

$a=-1$, $b=32$, $f(x)=-x+32$

Activities 3

3.1)

3.2)

Activities 4

4.1)

$f(x)$ and $h(x)$

4.2)

Only (b) is proportional, $y=4x$

4.3)

Graph (a) is a proportional function, $f(x)=5x$

Activities 5

5.1)

$p(x)$ $(k=1000)$ and $h(x)$ $\left(k=\frac{1}{3}\right)$

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)