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Solutions


Activities 1

1.1)

a)









x-values 0 1 2 3 4 5 6








y-values 5 6 7 8 9 10 11








b)









x-values 0 1 2 3 4 5 6








y-values 1 4 7 10 13 16 19








c)









x-values 0 1 2 3 4 5 6








y-values 8 6 4 2 0 2 4








d)









x-values 0 1 2 3 4 5 6








y-values 4 6 16 26 36 46 56








1.2)

a)









x-values 3 2 1 0 1 2 3








y-values 6 4 2 0 2 4 6








b)









x-values 3 2 1 0 1 2 3








y-values 13 12 11 10 9 8 7








c)



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








d)



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) = 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)

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

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

3.2)

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

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

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) (k = 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