8. a) Use the data in these tables of values to draw two scatter plots on the same pair
of axes. Use a different colour for each
scatter plot.
i)
Term Term
number value
1
1
2
4
3
9
4
16
Term
number
Term
value
1
1
4
2
8
3
12
16
4
b) Write each pattern rule as an algebraic
expression
c) Explain the similarities and differences
between the two relationships.

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is